Trigonometric Graphs Worksheet
Grade 11 worksheet covering the properties and transformations of trigonometric graphs including sine, cosine, and tangent functions.
Includes
Standards
Topics
Trigonometric Graphs
Name:
Date:
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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 - π/2) + 1?
1
2
3
π/2
2. Which of the following represents the period of the function y = cos(4x)?
π/4
π/2
π
2π
3. The of a trigonometric function is half the distance between its maximum and minimum values.
4. A phase shift of π/2 to the right for y = sin(x) would result in the equation y = sin(x - ).
5. Describe how the graph of y = -2cos(x) is transformed from the basic graph of y = cos(x).
6. Graph one full period of the function y = 2sin(x) on the coordinate plane below. Label the amplitude and period.
7. The graph of y = tan(x) has a vertical asymptote at x = π/2.
True
False
Match the trigonometric function with its corresponding period.
8. y = sin(x)
a. π
9. y = cos(2x)
b. 2π
10. y = tan(x/2)
c. π