Graphing Sine and Cosine Functions (Algebra 2)
Free printable Algebra 2 precalculus worksheet on the amplitude, period, phase shift and midline of sine and cosine graphs, each drawn over a full period.
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Algebra 2 · Math worksheet
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Algebra 2: Graphing Sine and Cosine Functions
For each function, state the amplitude, period, phase shift and midline. Each graph is drawn over the interval 0 to 2π so you can check your answer against the curve.
- 1.For y = -2sin(3(x + π/2)) + 1, state the amplitude, period, phase shift and midline.
y = -2sin(3(x + π/2)) + 1 - 2.For y = -3cos(x) - 1, state the amplitude, period, phase shift and midline.
y = -3cos(x) - 1 - 3.For y = -3sin(3(x - π/4)), state the amplitude, period, phase shift and midline.
y = -3sin(3(x - π/4)) - 4.For y = 4cos(3(x - π/4)) - 2, state the amplitude, period, phase shift and midline.
y = 4cos(3(x - π/4)) - 2 - 5.For y = 2sin(3(x + π/2)), state the amplitude, period, phase shift and midline.
y = 2sin(3(x + π/2)) - 6.For y = -3cos(2(x - π/4)) - 2, state the amplitude, period, phase shift and midline.
y = -3cos(2(x - π/4)) - 2 - 7.For y = 3sin((x - π/4)) + 1, state the amplitude, period, phase shift and midline.
y = 3sin((x - π/4)) + 1 - 8.For y = 3cos(2(x - π/4)) + 1, state the amplitude, period, phase shift and midline.
y = 3cos(2(x - π/4)) + 1
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