Question: Given the function defined by y = 3 6 s i n ( 2 x + p i / 2 ) , Determine the solution

Given the function defined by y=36sin(2x+pi/2), Determine the solution to each question below. Show your work and explain how you determine each characteristic of the function.

a. What is its period?

b. What is the amplitude of its graph?

c. What is its domain and range?

d. What is the y-intercept of its graph?

e. What is its phase shift?

f. Sketch two periods of the graph of this function. Label the axes with key values.

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