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