Sine and Cosine Graphs Worksheet
Understand and graph sine and cosine functions, including amplitude, period, and phase shift.
Includes
Standards
Topics
Sine and Cosine Graphs
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. What is the amplitude of the function y = 3sin(2x) + 1?
1
2
3
4
2. The period of the function y = cos(x/2) is:
π
2π
4π
π/2
3. The of a sinusoidal graph is half the distance between its maximum and minimum values.
4. A phase shift moves the graph horizontally, and for y = A sin(Bx - C) + D, the phase shift is calculated as .
5. Describe the key features of the graph of y = -2cos(x + π/4).
6. Graph one full period of the function y = sin(x) on the coordinate plane below.
7. Identify the amplitude, period, and phase shift of the sine wave shown in the diagram.
Amplitude:
Period:
Phase Shift:
8. The graph of y = cos(x) passes through the origin (0,0).
True
False
9. A vertical shift affects the amplitude of a sinusoidal graph.
True
False
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