# Lesson Worksheet: Transformation of Trigonometric Functions Mathematics

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

Q1:

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation. • A
• B
• C
• D
• E

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

Q8:

Which of the following is the graph of ?

• 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 function’s 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 function’s 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 function’s 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:

The figure shows the graph of . A transformation maps to . Determine the coordinates of following this transformation. • A
• B
• C
• D
• E