{"id":136,"date":"2026-01-12T15:50:20","date_gmt":"2026-01-12T15:50:20","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/?post_type=chapter&p=136"},"modified":"2026-01-12T15:50:20","modified_gmt":"2026-01-12T15:50:20","slug":"conic-sections-get-stronger-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/conic-sections-get-stronger-answer-key\/","title":{"raw":"Conic Sections: Get Stronger Answer Key","rendered":"Conic Sections: Get Stronger Answer Key"},"content":{"raw":"

Circles<\/h2>\r\n
    \r\n \t
  1. [latex]x^2 + y^2 = 49[\/latex]<\/li>\r\n \t
  2. [latex]x^2 + y^2 = 2[\/latex]<\/li>\r\n \t
  3. [latex](x - 3)^2 + (y - 5)^2 = 1[\/latex]<\/li>\r\n \t
  4. [latex](x - 1.5)^2 + (y + 3.5)^2 = 6.25[\/latex]<\/li>\r\n \t
  5. [latex](x - 3)^2 + (y + 2)^2 = 64[\/latex]<\/li>\r\n \t
  6. [latex](x - 4)^2 + (y - 4)^2 = 8[\/latex]<\/li>\r\n \t
  7. \r\n
      \r\n \t
    1. The circle is centered at [latex](-5, -3)[\/latex] with a radius of [latex]1[\/latex].<\/li>\r\n \t
    2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
    3. \r\n
        \r\n \t
      1. The circle is centered at [latex](4, -2)[\/latex] with a radius of [latex]4[\/latex].<\/li>\r\n \t
      2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
      3. \r\n
          \r\n \t
        1. The circle is centered at [latex](0, -2)[\/latex] with a radius of [latex]5[\/latex].<\/li>\r\n \t
        2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
        3. \r\n
            \r\n \t
          1. The circle is centered at [latex](1.5, -2.5)[\/latex] with a radius of [latex]0.5[\/latex].<\/li>\r\n \t
          2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
          3. \r\n
              \r\n \t
            1. The circle is centered at [latex](0, 0)[\/latex] with a radius of [latex]8[\/latex].<\/li>\r\n \t
            2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
            3. \r\n
                \r\n \t
              1. The circle is centered at [latex](0, 0)[\/latex] with a radius of [latex]2[\/latex].<\/li>\r\n \t
              2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
              3. \r\n
                  \r\n \t
                1. Center: [latex](-1, -3)[\/latex], radius: [latex]1[\/latex]<\/li>\r\n \t
                2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                3. \r\n
                    \r\n \t
                  1. Center: [latex](2, -5)[\/latex], radius: [latex]6[\/latex]<\/li>\r\n \t
                  2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                  3. \r\n
                      \r\n \t
                    1. Center: [latex](0, -3)[\/latex], radius: [latex]2[\/latex]<\/li>\r\n \t
                    2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                    3. \r\n
                        \r\n \t
                      1. Center: [latex](-2, 0)[\/latex], radius: [latex]2[\/latex]<\/li>\r\n \t
                      2. \"This<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n

                        Ellipses<\/h2>\r\n
                          \r\n \t
                        1. yes; [latex]\\dfrac{x^2}{3^2} + \\dfrac{y^2}{2^2} = 1[\/latex]<\/li>\r\n \t
                        2. yes; [latex]\\dfrac{x^2}{(\\dfrac{1}{2})^2} + \\dfrac{y^2}{(\\dfrac{1}{3})^2} = 1[\/latex]<\/li>\r\n \t
                        3. [latex]\\dfrac{x^2}{2^2} + \\dfrac{y^2}{7^2} = 1[\/latex]; Endpoints of major axis [latex](0, 7)[\/latex] and [latex](0, -7)[\/latex]. Endpoints of minor axis [latex](2, 0)[\/latex] and [latex](-2, 0)[\/latex]. Foci at [latex](0, 3\\sqrt{5})[\/latex], [latex](0, -3\\sqrt{5})[\/latex].<\/li>\r\n \t
                        4. [latex]\\dfrac{x^2}{(1)^2} + \\dfrac{y^2}{(\\dfrac{1}{3})^2} = 1[\/latex]; Endpoints of major axis [latex](1, 0)[\/latex] and [latex](-1, 0)[\/latex]. Endpoints of minor axis [latex](0, \\dfrac{1}{3})[\/latex], [latex](0, -\\dfrac{1}{3})[\/latex]. Foci at [latex](\\dfrac{2\\sqrt{2}}{3}, 0)[\/latex], [latex](-\\dfrac{2\\sqrt{2}}{3}, 0)[\/latex].<\/li>\r\n \t
                        5. [latex]\\dfrac{(x-2)^2}{7^2} + \\dfrac{(y-4)^2}{5^2} = 1[\/latex]; Endpoints of major axis [latex](9, 4)[\/latex], [latex](-5, 4)[\/latex]. Endpoints of minor axis [latex](2, 9)[\/latex], [latex](2, -1)[\/latex]. Foci at [latex](2 + 2\\sqrt{6}, 4)[\/latex], [latex](2 - 2\\sqrt{6}, 4)[\/latex].<\/li>\r\n \t
                        6. [latex]\\dfrac{(x+5)^2}{2^2} + \\dfrac{(y-7)^2}{3^2} = 1[\/latex]; Endpoints of major axis [latex](-5, 10)[\/latex], [latex](-5, 4)[\/latex]. Endpoints of minor axis [latex](-3, 7)[\/latex], [latex](-7, 7)[\/latex]. Foci at [latex](-5, 7 + \\sqrt{5})[\/latex], [latex](-5, 7 - \\sqrt{5})[\/latex].<\/li>\r\n \t
                        7. [latex]\\dfrac{(x-1)^2}{3^2} + \\dfrac{(y-4)^2}{2^2} = 1[\/latex]; Endpoints of major axis [latex](4, 4)[\/latex], [latex](-2, 4)[\/latex]. Endpoints of minor axis [latex](1, 6)[\/latex], [latex](1, 2)[\/latex]. Foci at [latex](1 + \\sqrt{5}, 4)[\/latex], [latex](1 - \\sqrt{5}, 4)[\/latex].<\/li>\r\n \t
                        8. [latex]\\dfrac{(x-3)^2}{(3\\sqrt{2})^2} + \\dfrac{(y-5)^2}{(\\sqrt{2})^2} = 1[\/latex]; Endpoints of major axis [latex](3 + 3\\sqrt{2}, 5)[\/latex], [latex](3 - 3\\sqrt{2}, 5)[\/latex]. Endpoints of minor axis [latex](3, 5 + \\sqrt{2})[\/latex], [latex](3, 5 - \\sqrt{2})[\/latex]. Foci at [latex](7, 5)[\/latex], [latex](-1, 5)[\/latex].<\/li>\r\n \t
                        9. [latex]\\dfrac{(x+5)^2}{(5)^2} + \\dfrac{(y-2)^2}{(2)^2} = 1[\/latex]; Endpoints of major axis [latex](0, 2)[\/latex], [latex](-10, 2)[\/latex]. Endpoints of minor axis [latex](-5, 4)[\/latex], [latex](-5, 0)[\/latex]. Foci at [latex](-5 + \\sqrt{21}, 2)[\/latex], [latex](-5 - \\sqrt{21}, 2)[\/latex].<\/li>\r\n \t
                        10. [latex]\\dfrac{(x+3)^2}{(5)^2} + \\dfrac{(y+4)^2}{(2)^2} = 1[\/latex]; Endpoints of major axis [latex](2, -4)[\/latex], [latex](-8, -4)[\/latex]. Endpoints of minor axis [latex](-3, -2)[\/latex], [latex](-3, -6)[\/latex]. Foci at [latex](-3 + \\sqrt{21}, -4)[\/latex], [latex](-3 - \\sqrt{21}, -4)[\/latex].<\/li>\r\n \t
                        11. Foci [latex](-3, -1 + \\sqrt{11})[\/latex], [latex](-3, -1 - \\sqrt{11})[\/latex]<\/li>\r\n \t
                        12. Focus [latex](0, 0)[\/latex]<\/li>\r\n \t
                        13. Foci [latex](-10, 30)[\/latex], [latex](-10, -30)[\/latex]<\/li>\r\n \t
                        14. Center [latex](0, 0)[\/latex], Vertices [latex](4, 0)[\/latex], [latex](-4, 0)[\/latex], [latex](0, 3)[\/latex], [latex](0, -3)[\/latex], Foci [latex](\\sqrt{7}, 0)[\/latex], [latex](-\\sqrt{7}, 0)[\/latex]\r\n\"<\/li>\r\n \t
                        15. Center [latex](0, 0)[\/latex], Vertices [latex](\\dfrac{1}{9}, 0)[\/latex], [latex](-\\dfrac{1}{9}, 0)[\/latex], [latex](0, \\dfrac{1}{7})[\/latex], [latex](0, -\\dfrac{1}{7})[\/latex], Foci [latex](0, \\dfrac{4\\sqrt{2}}{63})[\/latex], [latex](0, -\\dfrac{4\\sqrt{2}}{63})[\/latex]\r\n\"Graph<\/li>\r\n \t
                        16. Center [latex](-3, 3)[\/latex], Vertices [latex](0, 3)[\/latex], [latex](-6, 3)[\/latex], [latex](-3, 0)[\/latex], [latex](-3, 6)[\/latex], Focus [latex](-3, 3)[\/latex]\r\nNote that this ellipse is a circle. The circle has only one focus, which coincides with the center.\r\n\"Graph\r\n<\/em><\/li>\r\n \t
                        17. Center [latex](1, 1)[\/latex], Vertices [latex](5, 1)[\/latex], [latex](-3, 1)[\/latex], [latex](1, 3)[\/latex], [latex](1, -1)[\/latex], Foci [latex](1 + 2\\sqrt{3}, 1)[\/latex], [latex](1 - 2\\sqrt{3}, 1)[\/latex]\r\n\"Graph<\/li>\r\n \t
                        18. Center [latex](-4, 5)[\/latex], Vertices [latex](-2, 5)[\/latex], [latex](-6, 4)[\/latex], [latex](-4, 6)[\/latex], [latex](-4, 4)[\/latex], Foci [latex](-4 + \\sqrt{3}, 5)[\/latex], [latex](-4 - \\sqrt{3}, 5)[\/latex]\r\n\"Graph<\/li>\r\n \t
                        19. Center [latex](-2, 1)[\/latex], Vertices [latex](0, 1)[\/latex], [latex](-4, 1)[\/latex], [latex](-2, 5)[\/latex], [latex](-2, -3)[\/latex], Foci [latex](-2, 1 + 2\\sqrt{3})[\/latex], [latex](-2, 1 - 2\\sqrt{3})[\/latex]\r\n\"<\/li>\r\n \t
                        20. Center [latex](-2, -2)[\/latex], Vertices [latex](0, -2)[\/latex], [latex](-4, -2)[\/latex], [latex](-2, 0)[\/latex], [latex](-2, -4)[\/latex], Focus [latex](-2, -2)[\/latex]\r\n\"<\/li>\r\n \t
                        21. [latex]\\dfrac{x^2}{25} + \\dfrac{y^2}{29} = 1[\/latex]<\/li>\r\n \t
                        22. [latex]\\dfrac{(x-4)^2}{25} + \\dfrac{(y-2)^2}{1} = 1[\/latex]<\/li>\r\n \t
                        23. [latex]\\dfrac{(x+3)^2}{16} + \\dfrac{(y-4)^2}{4} = 1[\/latex]<\/li>\r\n \t
                        24. [latex]\\dfrac{x^2}{81} + \\dfrac{y^2}{9} = 1[\/latex]<\/li>\r\n \t
                        25. [latex]\\dfrac{(x+2)^2}{4} + \\dfrac{(y-2)^2}{9} = 1[\/latex]<\/li>\r\n \t
                        26. [latex]\\dfrac{x^2}{4h^2} + \\dfrac{y^2}{1h^2} = 1[\/latex]<\/li>\r\n \t
                        27. [latex]\\dfrac{x^2}{400} + \\dfrac{y^2}{144} = 1[\/latex]. Distance = [latex]17.32[\/latex] feet<\/li>\r\n \t
                        28. Approximately [latex]51.96[\/latex] feet<\/li>\r\n<\/ol>\r\n

                          Hyperbolas<\/h2>\r\n
                            \r\n \t
                          1. yes; [latex]\\dfrac{x^2}{6^2} - \\dfrac{y^2}{3^2} = 1[\/latex]<\/li>\r\n \t
                          2. yes; [latex]\\dfrac{x^2}{4^2} - \\dfrac{y^2}{5^2} = 1[\/latex]<\/li>\r\n \t
                          3. [latex]\\dfrac{x^2}{5^2} - \\dfrac{y^2}{6^2} = 1[\/latex]; vertices: [latex](5, 0)[\/latex], [latex](-5, 0)[\/latex]; foci: [latex](\\sqrt{61}, 0)[\/latex], [latex](-\\sqrt{61}, 0)[\/latex]; asymptotes: [latex]y = \\dfrac{6}{5}x[\/latex], [latex]y = -\\dfrac{6}{5}x[\/latex]<\/li>\r\n \t
                          4. [latex]\\dfrac{y^2}{2^2} - \\dfrac{x^2}{9^2} = 1[\/latex]; vertices: [latex](0, 2)[\/latex], [latex](0, -2)[\/latex]; foci: [latex](0, \\sqrt{85})[\/latex], [latex](0, -\\sqrt{85})[\/latex]; asymptotes: [latex]y = \\dfrac{2}{9}x[\/latex], [latex]y = -\\dfrac{2}{9}x[\/latex]<\/li>\r\n \t
                          5. [latex]\\dfrac{(x-1)^2}{3^2} - \\dfrac{(y-2)^2}{4^2} = 1[\/latex]; vertices: [latex](4, 2)[\/latex], [latex](-2, 2)[\/latex]; foci: [latex](6, 2)[\/latex], [latex](-4, 2)[\/latex]; asymptotes: [latex]y = \\dfrac{4}{3}(x - 1) + 2[\/latex], [latex]y = -\\dfrac{4}{3}(x - 1) + 2[\/latex]<\/li>\r\n \t
                          6. [latex]\\dfrac{(x-2)^2}{7^2} - \\dfrac{(y+7)^2}{7^2} = 1[\/latex]; vertices: [latex](9, -7)[\/latex], [latex](-5, -7)[\/latex]; foci: [latex](2 + 7\\sqrt{2}, -7)[\/latex], [latex](2 - 7\\sqrt{2}, -7)[\/latex]; asymptotes: [latex]y = x - 9[\/latex], [latex]y = -x - 5[\/latex]<\/li>\r\n \t
                          7. [latex]\\dfrac{(x+3)^2}{2^2} - \\dfrac{(y-3)^2}{3^2} = 1[\/latex]; vertices: [latex](0, 3)[\/latex], [latex](-6, 3)[\/latex]; foci: [latex](-3 + 3\\sqrt{2}, 1)[\/latex], [latex](-3 - 3\\sqrt{2}, 1)[\/latex]; asymptotes: [latex]y = x + 6[\/latex], [latex]y = -x[\/latex]<\/li>\r\n \t
                          8. [latex]\\dfrac{(y-4)^2}{2^2} - \\dfrac{(x-3)^2}{4^2} = 1[\/latex]; vertices: [latex](3, 6)[\/latex], [latex](3, 2)[\/latex]; foci: [latex](3, 4 + 2\\sqrt{5})[\/latex], [latex](3, 4 - 2\\sqrt{5})[\/latex]; asymptotes: [latex]y = \\dfrac{1}{2}(x - 3) + 4[\/latex], [latex]y = -\\dfrac{1}{2}(x - 3) + 4[\/latex]<\/li>\r\n \t
                          9. [latex]\\dfrac{(y+5)^2}{7^2} - \\dfrac{(x+1)^2}{70^2} = 1[\/latex]; vertices: [latex](-1, 2)[\/latex], [latex](-1, -12)[\/latex]; foci: [latex](-1, -5 + 7\\sqrt{101})[\/latex], [latex](-1, -5 - 7\\sqrt{101})[\/latex]; asymptotes: [latex]y = \\dfrac{1}{10}(x + 1) - 5[\/latex], [latex]y = -\\frac{1}{10}(x + 1) - 5[\/latex]<\/li>\r\n \t
                          10. [latex]\\dfrac{(x+3)^2}{5^2} - \\dfrac{(y-4)^2}{2^2} = 1[\/latex]; vertices: [latex](2, 4)[\/latex], [latex](-8, 4)[\/latex]; foci: [latex](-3 + \\sqrt{29}, 4)[\/latex], [latex](-3 - \\sqrt{29}, 4)[\/latex]; asymptotes: [latex]y = \\dfrac{2}{5}(x + 3) + 4[\/latex], [latex]y = -\\dfrac{2}{5}(x + 3) + 4[\/latex]<\/li>\r\n \t
                          11. [latex]y = \\dfrac{2}{5}(x - 3) - 4[\/latex], [latex]y = -\\dfrac{2}{5}(x - 3) - 4[\/latex]<\/li>\r\n \t
                          12. [latex]y = \\dfrac{3}{4}(x - 1) + 1[\/latex], [latex]y = -\\dfrac{3}{4}(x - 1) + 1[\/latex]<\/li>\r\n \t
                          13. \"Graph<\/li>\r\n \t
                          14. \"Graph<\/li>\r\n \t
                          15. \"Graph<\/li>\r\n \t
                          16. \"Graph<\/li>\r\n \t
                          17. \"Graph<\/li>\r\n \t
                          18. \"<\/li>\r\n \t
                          19. \"Graph<\/li>\r\n \t
                          20. [latex]\\dfrac{x^2}{9} - \\dfrac{y^2}{16} = 1[\/latex]<\/li>\r\n \t
                          21. [latex]\\dfrac{(x-6)^2}{25} - \\dfrac{(y-1)^2}{11} = 1[\/latex]<\/li>\r\n \t
                          22. [latex]\\dfrac{(x-4)^2}{25} - \\dfrac{(y-2)^2}{1} = 1[\/latex]<\/li>\r\n \t
                          23. [latex]\\dfrac{x^2}{16} - \\dfrac{y^2}{25} = 1[\/latex]<\/li>\r\n \t
                          24. [latex]\\dfrac{y^2}{9} - \\dfrac{(x+1)^2}{9} = 1[\/latex]<\/li>\r\n \t
                          25. [latex]\\dfrac{(x+3)^2}{25} - \\dfrac{(y+3)^2}{25} = 1[\/latex]<\/li>\r\n \t
                          26. [latex]\\dfrac{x^2}{25} - \\dfrac{y^2}{25} = 1[\/latex]\r\n\"Graph<\/li>\r\n \t
                          27. [latex]\\dfrac{x^2}{100} - \\dfrac{y^2}{25} = 1[\/latex]\r\n\"Graph<\/li>\r\n \t
                          28. [latex]\\dfrac{x^2}{400} - \\dfrac{y^2}{225} = 1[\/latex]\r\n\"<\/li>\r\n \t
                          29. [latex]4(x-1)^2 - y2^2 = 16[\/latex]<\/li>\r\n \t
                          30. [latex]\\dfrac{(x-h)^2}{a^2} - \\dfrac{(y-k)^2}{b^2} = (x-3)^2 - 9y^2 = 4[\/latex]<\/li>\r\n<\/ol>\r\n

                            Parabolas<\/h2>\r\n
                              \r\n \t
                            1. yes [latex]x^2 = 4(\\dfrac{1}{16})y[\/latex]<\/li>\r\n \t
                            2. yes [latex](y-3)^2 = 4(2)(x-2)[\/latex]<\/li>\r\n \t
                            3. [latex]y^2 = \\dfrac{1}{8}x[\/latex], V: [latex](0,0)[\/latex]; F: [latex](\\dfrac{1}{32},0)[\/latex]; d: [latex]x = -\\dfrac{1}{32}[\/latex]<\/li>\r\n \t
                            4. [latex]x^2 = -\\dfrac{1}{4}y[\/latex], V: [latex](0,0)[\/latex]; F: [latex](0,-\\dfrac{1}{16})[\/latex]; d: [latex]y = \\dfrac{1}{16}[\/latex]<\/li>\r\n \t
                            5. [latex]y^2 = \\dfrac{1}{36}x[\/latex], V: [latex](0,0)[\/latex]; F: [latex](\\dfrac{1}{144},0)[\/latex]; d: [latex]x = -\\dfrac{1}{144}[\/latex]<\/li>\r\n \t
                            6. [latex](x-1)^2 = 4(y-1)[\/latex], V: [latex](1,1)[\/latex]; F: [latex](1,2)[\/latex]; d: [latex]y = 0[\/latex]<\/li>\r\n \t
                            7. [latex](y-4)^2 = 2(x+3)[\/latex], V: [latex](-3,4)[\/latex]; F: [latex](-\\dfrac{5}{2},4)[\/latex]; d: [latex]x = -\\dfrac{7}{2}[\/latex]<\/li>\r\n \t
                            8. [latex](x+4)^2 = 24(y+1)[\/latex], V: [latex](-4,-1)[\/latex]; F: [latex](-4,5)[\/latex]; d: [latex]y = -7[\/latex]<\/li>\r\n \t
                            9. [latex](y-3)^2 = -12(x+1)[\/latex], V: [latex](-1,3)[\/latex]; F: [latex](-4,3)[\/latex]; d: [latex]x = 2[\/latex]<\/li>\r\n \t
                            10. [latex](x-5)^2 = \\dfrac{8}{5}(y+3)[\/latex], V: [latex](5,-3)[\/latex]; F: [latex](5,-\\dfrac{14}{5})[\/latex]; d: [latex]y = -\\dfrac{16}{5}[\/latex]<\/li>\r\n \t
                            11. [latex](x-2)^2 = -2(y-5)[\/latex], V: [latex](2,5)[\/latex]; F: [latex](2,\\dfrac{9}{2})[\/latex]; d: [latex]y = \\dfrac{11}{2}[\/latex]<\/li>\r\n \t
                            12. [latex](y-1)^2 = \\dfrac{4}{3}(x-5)[\/latex], V: [latex](5,1)[\/latex]; F: [latex](\\dfrac{16}{3},1)[\/latex]; d: [latex]x = \\dfrac{14}{3}[\/latex]<\/li>\r\n \t
                            13. \"Graph<\/li>\r\n \t
                            14. \"Graph<\/li>\r\n \t
                            15. \"Graph<\/li>\r\n \t
                            16. \"Graph<\/li>\r\n \t
                            17. \"Graph<\/li>\r\n \t
                            18. \"Graph<\/li>\r\n \t
                            19. \"Graph<\/li>\r\n \t
                            20. [latex]x^2 = -16y[\/latex]<\/li>\r\n \t
                            21. [latex](y-2)^2 = 4\\sqrt{2}(x-2)[\/latex]<\/li>\r\n \t
                            22. [latex](y+\\sqrt{3})^2 = -4\\sqrt{2}(x-\\sqrt{2})[\/latex]<\/li>\r\n \t
                            23. [latex]x^2 = y[\/latex]<\/li>\r\n \t
                            24. [latex](y-2)^2 = \\dfrac{1}{4}(x+2)[\/latex]<\/li>\r\n \t
                            25. [latex](y-\\sqrt{3})^2 = 4\\sqrt{5}(x+\\sqrt{2})[\/latex]<\/li>\r\n \t
                            26. [latex](0,1)[\/latex]<\/li>\r\n \t
                            27. At the point [latex]2.25[\/latex] feet above the vertex.<\/li>\r\n \t
                            28. [latex]0.5625[\/latex] feet<\/li>\r\n \t
                            29. [latex]x^2 = -125(y-20)[\/latex], height is [latex]7.2[\/latex] feet<\/li>\r\n \t
                            30. [latex]2304 [\/latex] feet<\/li>\r\n<\/ol>","rendered":"

                              Circles<\/h2>\n
                                \n
                              1. [latex]x^2 + y^2 = 49[\/latex]<\/li>\n
                              2. [latex]x^2 + y^2 = 2[\/latex]<\/li>\n
                              3. [latex](x - 3)^2 + (y - 5)^2 = 1[\/latex]<\/li>\n
                              4. [latex](x - 1.5)^2 + (y + 3.5)^2 = 6.25[\/latex]<\/li>\n
                              5. [latex](x - 3)^2 + (y + 2)^2 = 64[\/latex]<\/li>\n
                              6. [latex](x - 4)^2 + (y - 4)^2 = 8[\/latex]<\/li>\n
                              7. \n
                                  \n
                                1. The circle is centered at [latex](-5, -3)[\/latex] with a radius of [latex]1[\/latex].<\/li>\n
                                2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                3. \n
                                    \n
                                  1. The circle is centered at [latex](4, -2)[\/latex] with a radius of [latex]4[\/latex].<\/li>\n
                                  2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                  3. \n
                                      \n
                                    1. The circle is centered at [latex](0, -2)[\/latex] with a radius of [latex]5[\/latex].<\/li>\n
                                    2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                    3. \n
                                        \n
                                      1. The circle is centered at [latex](1.5, -2.5)[\/latex] with a radius of [latex]0.5[\/latex].<\/li>\n
                                      2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                      3. \n
                                          \n
                                        1. The circle is centered at [latex](0, 0)[\/latex] with a radius of [latex]8[\/latex].<\/li>\n
                                        2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                        3. \n
                                            \n
                                          1. The circle is centered at [latex](0, 0)[\/latex] with a radius of [latex]2[\/latex].<\/li>\n
                                          2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                          3. \n
                                              \n
                                            1. Center: [latex](-1, -3)[\/latex], radius: [latex]1[\/latex]<\/li>\n
                                            2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                            3. \n
                                                \n
                                              1. Center: [latex](2, -5)[\/latex], radius: [latex]6[\/latex]<\/li>\n
                                              2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                              3. \n
                                                  \n
                                                1. Center: [latex](0, -3)[\/latex], radius: [latex]2[\/latex]<\/li>\n
                                                2. \"This<\/li>\n<\/ol>\n<\/li>\n
                                                3. \n
                                                    \n
                                                  1. Center: [latex](-2, 0)[\/latex], radius: [latex]2[\/latex]<\/li>\n
                                                  2. \"This<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n

                                                    Ellipses<\/h2>\n
                                                      \n
                                                    1. yes; [latex]\\dfrac{x^2}{3^2} + \\dfrac{y^2}{2^2} = 1[\/latex]<\/li>\n
                                                    2. yes; [latex]\\dfrac{x^2}{(\\dfrac{1}{2})^2} + \\dfrac{y^2}{(\\dfrac{1}{3})^2} = 1[\/latex]<\/li>\n
                                                    3. [latex]\\dfrac{x^2}{2^2} + \\dfrac{y^2}{7^2} = 1[\/latex]; Endpoints of major axis [latex](0, 7)[\/latex] and [latex](0, -7)[\/latex]. Endpoints of minor axis [latex](2, 0)[\/latex] and [latex](-2, 0)[\/latex]. Foci at [latex](0, 3\\sqrt{5})[\/latex], [latex](0, -3\\sqrt{5})[\/latex].<\/li>\n
                                                    4. [latex]\\dfrac{x^2}{(1)^2} + \\dfrac{y^2}{(\\dfrac{1}{3})^2} = 1[\/latex]; Endpoints of major axis [latex](1, 0)[\/latex] and [latex](-1, 0)[\/latex]. Endpoints of minor axis [latex](0, \\dfrac{1}{3})[\/latex], [latex](0, -\\dfrac{1}{3})[\/latex]. Foci at [latex](\\dfrac{2\\sqrt{2}}{3}, 0)[\/latex], [latex](-\\dfrac{2\\sqrt{2}}{3}, 0)[\/latex].<\/li>\n
                                                    5. [latex]\\dfrac{(x-2)^2}{7^2} + \\dfrac{(y-4)^2}{5^2} = 1[\/latex]; Endpoints of major axis [latex](9, 4)[\/latex], [latex](-5, 4)[\/latex]. Endpoints of minor axis [latex](2, 9)[\/latex], [latex](2, -1)[\/latex]. Foci at [latex](2 + 2\\sqrt{6}, 4)[\/latex], [latex](2 - 2\\sqrt{6}, 4)[\/latex].<\/li>\n
                                                    6. [latex]\\dfrac{(x+5)^2}{2^2} + \\dfrac{(y-7)^2}{3^2} = 1[\/latex]; Endpoints of major axis [latex](-5, 10)[\/latex], [latex](-5, 4)[\/latex]. Endpoints of minor axis [latex](-3, 7)[\/latex], [latex](-7, 7)[\/latex]. Foci at [latex](-5, 7 + \\sqrt{5})[\/latex], [latex](-5, 7 - \\sqrt{5})[\/latex].<\/li>\n
                                                    7. [latex]\\dfrac{(x-1)^2}{3^2} + \\dfrac{(y-4)^2}{2^2} = 1[\/latex]; Endpoints of major axis [latex](4, 4)[\/latex], [latex](-2, 4)[\/latex]. Endpoints of minor axis [latex](1, 6)[\/latex], [latex](1, 2)[\/latex]. Foci at [latex](1 + \\sqrt{5}, 4)[\/latex], [latex](1 - \\sqrt{5}, 4)[\/latex].<\/li>\n
                                                    8. [latex]\\dfrac{(x-3)^2}{(3\\sqrt{2})^2} + \\dfrac{(y-5)^2}{(\\sqrt{2})^2} = 1[\/latex]; Endpoints of major axis [latex](3 + 3\\sqrt{2}, 5)[\/latex], [latex](3 - 3\\sqrt{2}, 5)[\/latex]. Endpoints of minor axis [latex](3, 5 + \\sqrt{2})[\/latex], [latex](3, 5 - \\sqrt{2})[\/latex]. Foci at [latex](7, 5)[\/latex], [latex](-1, 5)[\/latex].<\/li>\n
                                                    9. [latex]\\dfrac{(x+5)^2}{(5)^2} + \\dfrac{(y-2)^2}{(2)^2} = 1[\/latex]; Endpoints of major axis [latex](0, 2)[\/latex], [latex](-10, 2)[\/latex]. Endpoints of minor axis [latex](-5, 4)[\/latex], [latex](-5, 0)[\/latex]. Foci at [latex](-5 + \\sqrt{21}, 2)[\/latex], [latex](-5 - \\sqrt{21}, 2)[\/latex].<\/li>\n
                                                    10. [latex]\\dfrac{(x+3)^2}{(5)^2} + \\dfrac{(y+4)^2}{(2)^2} = 1[\/latex]; Endpoints of major axis [latex](2, -4)[\/latex], [latex](-8, -4)[\/latex]. Endpoints of minor axis [latex](-3, -2)[\/latex], [latex](-3, -6)[\/latex]. Foci at [latex](-3 + \\sqrt{21}, -4)[\/latex], [latex](-3 - \\sqrt{21}, -4)[\/latex].<\/li>\n
                                                    11. Foci [latex](-3, -1 + \\sqrt{11})[\/latex], [latex](-3, -1 - \\sqrt{11})[\/latex]<\/li>\n
                                                    12. Focus [latex](0, 0)[\/latex]<\/li>\n
                                                    13. Foci [latex](-10, 30)[\/latex], [latex](-10, -30)[\/latex]<\/li>\n
                                                    14. Center [latex](0, 0)[\/latex], Vertices [latex](4, 0)[\/latex], [latex](-4, 0)[\/latex], [latex](0, 3)[\/latex], [latex](0, -3)[\/latex], Foci [latex](\\sqrt{7}, 0)[\/latex], [latex](-\\sqrt{7}, 0)[\/latex]
                                                      \n\"Graph<\/li>\n
                                                    15. Center [latex](0, 0)[\/latex], Vertices [latex](\\dfrac{1}{9}, 0)[\/latex], [latex](-\\dfrac{1}{9}, 0)[\/latex], [latex](0, \\dfrac{1}{7})[\/latex], [latex](0, -\\dfrac{1}{7})[\/latex], Foci [latex](0, \\dfrac{4\\sqrt{2}}{63})[\/latex], [latex](0, -\\dfrac{4\\sqrt{2}}{63})[\/latex]
                                                      \n\"Graph<\/li>\n
                                                    16. Center [latex](-3, 3)[\/latex], Vertices [latex](0, 3)[\/latex], [latex](-6, 3)[\/latex], [latex](-3, 0)[\/latex], [latex](-3, 6)[\/latex], Focus [latex](-3, 3)[\/latex]
                                                      \nNote that this ellipse is a circle. The circle has only one focus, which coincides with the center.
                                                      \n\"Graph
                                                      \n<\/em><\/li>\n
                                                    17. Center [latex](1, 1)[\/latex], Vertices [latex](5, 1)[\/latex], [latex](-3, 1)[\/latex], [latex](1, 3)[\/latex], [latex](1, -1)[\/latex], Foci [latex](1 + 2\\sqrt{3}, 1)[\/latex], [latex](1 - 2\\sqrt{3}, 1)[\/latex]
                                                      \n\"Graph<\/li>\n
                                                    18. Center [latex](-4, 5)[\/latex], Vertices [latex](-2, 5)[\/latex], [latex](-6, 4)[\/latex], [latex](-4, 6)[\/latex], [latex](-4, 4)[\/latex], Foci [latex](-4 + \\sqrt{3}, 5)[\/latex], [latex](-4 - \\sqrt{3}, 5)[\/latex]
                                                      \n\"Graph<\/li>\n
                                                    19. Center [latex](-2, 1)[\/latex], Vertices [latex](0, 1)[\/latex], [latex](-4, 1)[\/latex], [latex](-2, 5)[\/latex], [latex](-2, -3)[\/latex], Foci [latex](-2, 1 + 2\\sqrt{3})[\/latex], [latex](-2, 1 - 2\\sqrt{3})[\/latex]
                                                      \n\"Graph<\/li>\n
                                                    20. Center [latex](-2, -2)[\/latex], Vertices [latex](0, -2)[\/latex], [latex](-4, -2)[\/latex], [latex](-2, 0)[\/latex], [latex](-2, -4)[\/latex], Focus [latex](-2, -2)[\/latex]
                                                      \n\"Graph<\/li>\n
                                                    21. [latex]\\dfrac{x^2}{25} + \\dfrac{y^2}{29} = 1[\/latex]<\/li>\n
                                                    22. [latex]\\dfrac{(x-4)^2}{25} + \\dfrac{(y-2)^2}{1} = 1[\/latex]<\/li>\n
                                                    23. [latex]\\dfrac{(x+3)^2}{16} + \\dfrac{(y-4)^2}{4} = 1[\/latex]<\/li>\n
                                                    24. [latex]\\dfrac{x^2}{81} + \\dfrac{y^2}{9} = 1[\/latex]<\/li>\n
                                                    25. [latex]\\dfrac{(x+2)^2}{4} + \\dfrac{(y-2)^2}{9} = 1[\/latex]<\/li>\n
                                                    26. [latex]\\dfrac{x^2}{4h^2} + \\dfrac{y^2}{1h^2} = 1[\/latex]<\/li>\n
                                                    27. [latex]\\dfrac{x^2}{400} + \\dfrac{y^2}{144} = 1[\/latex]. Distance = [latex]17.32[\/latex] feet<\/li>\n
                                                    28. Approximately [latex]51.96[\/latex] feet<\/li>\n<\/ol>\n

                                                      Hyperbolas<\/h2>\n
                                                        \n
                                                      1. yes; [latex]\\dfrac{x^2}{6^2} - \\dfrac{y^2}{3^2} = 1[\/latex]<\/li>\n
                                                      2. yes; [latex]\\dfrac{x^2}{4^2} - \\dfrac{y^2}{5^2} = 1[\/latex]<\/li>\n
                                                      3. [latex]\\dfrac{x^2}{5^2} - \\dfrac{y^2}{6^2} = 1[\/latex]; vertices: [latex](5, 0)[\/latex], [latex](-5, 0)[\/latex]; foci: [latex](\\sqrt{61}, 0)[\/latex], [latex](-\\sqrt{61}, 0)[\/latex]; asymptotes: [latex]y = \\dfrac{6}{5}x[\/latex], [latex]y = -\\dfrac{6}{5}x[\/latex]<\/li>\n
                                                      4. [latex]\\dfrac{y^2}{2^2} - \\dfrac{x^2}{9^2} = 1[\/latex]; vertices: [latex](0, 2)[\/latex], [latex](0, -2)[\/latex]; foci: [latex](0, \\sqrt{85})[\/latex], [latex](0, -\\sqrt{85})[\/latex]; asymptotes: [latex]y = \\dfrac{2}{9}x[\/latex], [latex]y = -\\dfrac{2}{9}x[\/latex]<\/li>\n
                                                      5. [latex]\\dfrac{(x-1)^2}{3^2} - \\dfrac{(y-2)^2}{4^2} = 1[\/latex]; vertices: [latex](4, 2)[\/latex], [latex](-2, 2)[\/latex]; foci: [latex](6, 2)[\/latex], [latex](-4, 2)[\/latex]; asymptotes: [latex]y = \\dfrac{4}{3}(x - 1) + 2[\/latex], [latex]y = -\\dfrac{4}{3}(x - 1) + 2[\/latex]<\/li>\n
                                                      6. [latex]\\dfrac{(x-2)^2}{7^2} - \\dfrac{(y+7)^2}{7^2} = 1[\/latex]; vertices: [latex](9, -7)[\/latex], [latex](-5, -7)[\/latex]; foci: [latex](2 + 7\\sqrt{2}, -7)[\/latex], [latex](2 - 7\\sqrt{2}, -7)[\/latex]; asymptotes: [latex]y = x - 9[\/latex], [latex]y = -x - 5[\/latex]<\/li>\n
                                                      7. [latex]\\dfrac{(x+3)^2}{2^2} - \\dfrac{(y-3)^2}{3^2} = 1[\/latex]; vertices: [latex](0, 3)[\/latex], [latex](-6, 3)[\/latex]; foci: [latex](-3 + 3\\sqrt{2}, 1)[\/latex], [latex](-3 - 3\\sqrt{2}, 1)[\/latex]; asymptotes: [latex]y = x + 6[\/latex], [latex]y = -x[\/latex]<\/li>\n
                                                      8. [latex]\\dfrac{(y-4)^2}{2^2} - \\dfrac{(x-3)^2}{4^2} = 1[\/latex]; vertices: [latex](3, 6)[\/latex], [latex](3, 2)[\/latex]; foci: [latex](3, 4 + 2\\sqrt{5})[\/latex], [latex](3, 4 - 2\\sqrt{5})[\/latex]; asymptotes: [latex]y = \\dfrac{1}{2}(x - 3) + 4[\/latex], [latex]y = -\\dfrac{1}{2}(x - 3) + 4[\/latex]<\/li>\n
                                                      9. [latex]\\dfrac{(y+5)^2}{7^2} - \\dfrac{(x+1)^2}{70^2} = 1[\/latex]; vertices: [latex](-1, 2)[\/latex], [latex](-1, -12)[\/latex]; foci: [latex](-1, -5 + 7\\sqrt{101})[\/latex], [latex](-1, -5 - 7\\sqrt{101})[\/latex]; asymptotes: [latex]y = \\dfrac{1}{10}(x + 1) - 5[\/latex], [latex]y = -\\frac{1}{10}(x + 1) - 5[\/latex]<\/li>\n
                                                      10. [latex]\\dfrac{(x+3)^2}{5^2} - \\dfrac{(y-4)^2}{2^2} = 1[\/latex]; vertices: [latex](2, 4)[\/latex], [latex](-8, 4)[\/latex]; foci: [latex](-3 + \\sqrt{29}, 4)[\/latex], [latex](-3 - \\sqrt{29}, 4)[\/latex]; asymptotes: [latex]y = \\dfrac{2}{5}(x + 3) + 4[\/latex], [latex]y = -\\dfrac{2}{5}(x + 3) + 4[\/latex]<\/li>\n
                                                      11. [latex]y = \\dfrac{2}{5}(x - 3) - 4[\/latex], [latex]y = -\\dfrac{2}{5}(x - 3) - 4[\/latex]<\/li>\n
                                                      12. [latex]y = \\dfrac{3}{4}(x - 1) + 1[\/latex], [latex]y = -\\dfrac{3}{4}(x - 1) + 1[\/latex]<\/li>\n
                                                      13. \"Graph<\/li>\n
                                                      14. \"Graph<\/li>\n
                                                      15. \"Graph<\/li>\n
                                                      16. \"Graph<\/li>\n
                                                      17. \"Graph<\/li>\n
                                                      18. \"Graph<\/li>\n
                                                      19. \"Graph<\/li>\n
                                                      20. [latex]\\dfrac{x^2}{9} - \\dfrac{y^2}{16} = 1[\/latex]<\/li>\n
                                                      21. [latex]\\dfrac{(x-6)^2}{25} - \\dfrac{(y-1)^2}{11} = 1[\/latex]<\/li>\n
                                                      22. [latex]\\dfrac{(x-4)^2}{25} - \\dfrac{(y-2)^2}{1} = 1[\/latex]<\/li>\n
                                                      23. [latex]\\dfrac{x^2}{16} - \\dfrac{y^2}{25} = 1[\/latex]<\/li>\n
                                                      24. [latex]\\dfrac{y^2}{9} - \\dfrac{(x+1)^2}{9} = 1[\/latex]<\/li>\n
                                                      25. [latex]\\dfrac{(x+3)^2}{25} - \\dfrac{(y+3)^2}{25} = 1[\/latex]<\/li>\n
                                                      26. [latex]\\dfrac{x^2}{25} - \\dfrac{y^2}{25} = 1[\/latex]
                                                        \n\"Graph<\/li>\n
                                                      27. [latex]\\dfrac{x^2}{100} - \\dfrac{y^2}{25} = 1[\/latex]
                                                        \n\"Graph<\/li>\n
                                                      28. [latex]\\dfrac{x^2}{400} - \\dfrac{y^2}{225} = 1[\/latex]
                                                        \n\"Graph<\/li>\n
                                                      29. [latex]4(x-1)^2 - y2^2 = 16[\/latex]<\/li>\n
                                                      30. [latex]\\dfrac{(x-h)^2}{a^2} - \\dfrac{(y-k)^2}{b^2} = (x-3)^2 - 9y^2 = 4[\/latex]<\/li>\n<\/ol>\n

                                                        Parabolas<\/h2>\n
                                                          \n
                                                        1. yes [latex]x^2 = 4(\\dfrac{1}{16})y[\/latex]<\/li>\n
                                                        2. yes [latex](y-3)^2 = 4(2)(x-2)[\/latex]<\/li>\n
                                                        3. [latex]y^2 = \\dfrac{1}{8}x[\/latex], V: [latex](0,0)[\/latex]; F: [latex](\\dfrac{1}{32},0)[\/latex]; d: [latex]x = -\\dfrac{1}{32}[\/latex]<\/li>\n
                                                        4. [latex]x^2 = -\\dfrac{1}{4}y[\/latex], V: [latex](0,0)[\/latex]; F: [latex](0,-\\dfrac{1}{16})[\/latex]; d: [latex]y = \\dfrac{1}{16}[\/latex]<\/li>\n
                                                        5. [latex]y^2 = \\dfrac{1}{36}x[\/latex], V: [latex](0,0)[\/latex]; F: [latex](\\dfrac{1}{144},0)[\/latex]; d: [latex]x = -\\dfrac{1}{144}[\/latex]<\/li>\n
                                                        6. [latex](x-1)^2 = 4(y-1)[\/latex], V: [latex](1,1)[\/latex]; F: [latex](1,2)[\/latex]; d: [latex]y = 0[\/latex]<\/li>\n
                                                        7. [latex](y-4)^2 = 2(x+3)[\/latex], V: [latex](-3,4)[\/latex]; F: [latex](-\\dfrac{5}{2},4)[\/latex]; d: [latex]x = -\\dfrac{7}{2}[\/latex]<\/li>\n
                                                        8. [latex](x+4)^2 = 24(y+1)[\/latex], V: [latex](-4,-1)[\/latex]; F: [latex](-4,5)[\/latex]; d: [latex]y = -7[\/latex]<\/li>\n
                                                        9. [latex](y-3)^2 = -12(x+1)[\/latex], V: [latex](-1,3)[\/latex]; F: [latex](-4,3)[\/latex]; d: [latex]x = 2[\/latex]<\/li>\n
                                                        10. [latex](x-5)^2 = \\dfrac{8}{5}(y+3)[\/latex], V: [latex](5,-3)[\/latex]; F: [latex](5,-\\dfrac{14}{5})[\/latex]; d: [latex]y = -\\dfrac{16}{5}[\/latex]<\/li>\n
                                                        11. [latex](x-2)^2 = -2(y-5)[\/latex], V: [latex](2,5)[\/latex]; F: [latex](2,\\dfrac{9}{2})[\/latex]; d: [latex]y = \\dfrac{11}{2}[\/latex]<\/li>\n
                                                        12. [latex](y-1)^2 = \\dfrac{4}{3}(x-5)[\/latex], V: [latex](5,1)[\/latex]; F: [latex](\\dfrac{16}{3},1)[\/latex]; d: [latex]x = \\dfrac{14}{3}[\/latex]<\/li>\n
                                                        13. \"Graph<\/li>\n
                                                        14. \"Graph<\/li>\n
                                                        15. \"Graph<\/li>\n
                                                        16. \"Graph<\/li>\n
                                                        17. \"Graph<\/li>\n
                                                        18. \"Graph<\/li>\n
                                                        19. \"Graph<\/li>\n
                                                        20. [latex]x^2 = -16y[\/latex]<\/li>\n
                                                        21. [latex](y-2)^2 = 4\\sqrt{2}(x-2)[\/latex]<\/li>\n
                                                        22. [latex](y+\\sqrt{3})^2 = -4\\sqrt{2}(x-\\sqrt{2})[\/latex]<\/li>\n
                                                        23. [latex]x^2 = y[\/latex]<\/li>\n
                                                        24. [latex](y-2)^2 = \\dfrac{1}{4}(x+2)[\/latex]<\/li>\n
                                                        25. [latex](y-\\sqrt{3})^2 = 4\\sqrt{5}(x+\\sqrt{2})[\/latex]<\/li>\n
                                                        26. [latex](0,1)[\/latex]<\/li>\n
                                                        27. At the point [latex]2.25[\/latex] feet above the vertex.<\/li>\n
                                                        28. [latex]0.5625[\/latex] feet<\/li>\n
                                                        29. [latex]x^2 = -125(y-20)[\/latex], height is [latex]7.2[\/latex] feet<\/li>\n
                                                        30. [latex]2304[\/latex] feet<\/li>\n<\/ol>\n","protected":false},"author":15,"menu_order":15,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":106,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/136"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":1,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/136\/revisions"}],"predecessor-version":[{"id":144,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/136\/revisions\/144"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/106"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/136\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=136"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=136"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=136"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}