# Worksheet: Transformation of Trigonometric Functions

In this worksheet, we will practice translating or stretching the trigonometric function and finding the rule of a trigonometric function given the transformation.

**Q2: **

The figure shows the graph of .

Which of the following is a graph of ?

- A
- B
- C
- D
- E

**Q3: **

Write the equation of the trigonometric function seen in the given figure.

- A
- B
- C
- D
- E

**Q4: **

Which function is represented on the graph?

- A
- B
- C

**Q5: **

The figure shows the graph of a function. Which of the following equations represents the graph?

- A
- B
- C
- D
- E

**Q6: **

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation.

- A
- B
- C
- D
- E

**Q7: **

The figure shows the graph of a function. Which of the following equations represents the graph?

- A
- B
- C
- D
- E

**Q9: **

Which of the following is the graph of ?

- A
- B
- C
- D
- E

**Q10: **

Which of the following equations is represented by the given graph?

- A
- Bs
- C
- D
- E

**Q11: **

Which of the following is the graph of ?

- A
- B
- C
- D
- E

**Q12: **

Which of the following is the graph of ?

- A
- B
- C
- D
- E

**Q13: **

Which of the following is the graph of ?

- A
- B
- C
- D
- E

**Q14: **

Which of the following is the graph of ?

- A
- B
- C
- D
- E

**Q15: **

The figure shows the graph of a periodic function.

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

- A
- B
- C
- D

**Q16: **

The figure shows the graph of .

Which of the following is a graph of ?

- A
- B
- C
- D
- E

**Q17: **

The figure shows the graph of .

Which of the following is a graph of ?

- A
- B
- C
- D
- E

**Q18: **

The figure shows the graph of .

Which of the following is a graph of ?

- A
- B
- C
- D
- E

**Q19: **

The figure shows the graph of a periodic function.

The functionβs amplitude was doubled. Which of the following is the graph of the resulting function?

- A
- B
- C
- D

**Q20: **

The figure shows the graph of .

Which of the following is a graph of ?

- A
- B
- C
- D
- E

**Q21: **

Which of the following is the graph of ?

- A
- B
- C
- D
- E

**Q22: **

The figure shows the graph of a periodic function.

The functionβs period was doubled. Which of the following is the graph of the resulting function?

- A
- B
- C
- D

**Q23: **

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation.

- A
- B
- C
- D
- E

**Q24: **

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation.

- A
- B
- C
- D
- E

**Q25: **

On the left is the graph of and on the right is the graph of for some numbers and .

What is the pair ?

- A
- BThey cannot be determined.
- C
- D
- E