Worksheet: Transformation of Periodic Functions

In this worksheet, we will practice finding the rule of a function whose graph is of a sine or cosine function that has been stretched in the x-direction or y-direction.

Q1:

Which function is represented on the graph?

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• B
• C

Q2:

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

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• B
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• D
• E

Q3:

The figure shows the graph of .

Which of the following is a graph of ?

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• B
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• D
• E

Q4:

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

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• B
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• E

Q5:

Which function is represented on the graph?

• A
• B
• C

Q6:

Which of the following is the graph of ?

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• B
• C
• D
• E

Q7:

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

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• B
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• D
• E

Q8:

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

• A
• B
• C
• D
• E