Graded Assignment

Test: Trigonometric Functions
Answer the following questions using what you’ve learned from this unit. Write your responses in the space provided and turn the assignment in to your instructor.

1. Graphs of and are shown. Identify each graph, explaining your reasoning.

Red graph: ___________________

Blue graph: ___________________

Explanation:

For the functions below, state the amplitude, period, phase shift, and vertical translation of the graph for the sinusoid.

2.

a. Amplitude: __________

b. Period: __________

c. Phase shift: __________

d. Vertical translation: __________

3.

a. Amplitude: __________

b. Period: __________

c. Phase shift: __________

d. Vertical translation: __________

4. Explain how the graph of is related to the graph of the basic trigonometric function . Please use complete sentences. I expect this to be a paragraph.

5. Determine the period, domain, range, zeros, and asymptotes (if any). Then, sketch the graph of the function .

a. Period: __________

b. Domain: __________

c. Range: __________

d. Zeros: __________

e. Asymptotes: ¬¬__________

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