# Worksheet: Periodic Functions

In this worksheet, we will practice deriving the amplitude, period, midline, and horizontal and vertical shifts of a trigonometric function from its equation.

**Q2: **

What is the maximum value of the function ?

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- B
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- E

**Q5: **

What is the midline of ?

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**Q6: **

The figure shows the graph of .

Which of the following is a graph of ?

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- E

**Q7: **

The figure shows the graph of .

Which of the following is a graph of ?

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**Q8: **

Which of the plots shown in the graph represents the tangent function?

- A the blue plot
- B the green plot
- C the red plot

**Q9: **

What is the amplitude of the function ?

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- E

**Q10: **

Let . What is the smallest positive value of for which holds?

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**Q11: **

Simplify .

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- D

**Q12: **

Simplify .

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**Q13: **

The figure shows the graph of a periodic function.

The height of the function’s midline was doubled. Which of the following is the graph of the resulting function?

- A
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- D

**Q14: **

The figure shows the graph of .