- Identify the period, amplitude and midline of a sinusoidal function
A sinusoidal function is a sine or cosine graph of the form:
[latex]y = A\sin(Bx) + D \quad \text{or} \quad y = A\cos(Bx) + D[/latex]
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Amplitude [latex]|A|[/latex]: height from the midline to a peak or trough
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Period: [latex]\frac{2\pi}{B}[/latex]: horizontal length of one full cycle
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Midline: [latex]y = D[/latex]: vertical center line of the wave
Find the amplitude, period, and midline of
[latex]y = 3\sin(2x) - 1[/latex].