# 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.

**Q2: **

The figure shows the graph of .

Which of the following is a graph of ?

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**Q3: **

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

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**Q4: **

Which function is represented on the graph?

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**Q5: **

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

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**Q6: **

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

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**Q7: **

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

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**Q9: **

Which of the following is the graph of ?

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**Q10: **

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

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**Q11: **

Which of the following is the graph of ?

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**Q12: **

Which of the following is the graph of ?

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**Q13: **

Which of the following is the graph of ?

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**Q14: **

Which of the following is the graph of ?

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**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?

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**Q16: **

The figure shows the graph of .

Which of the following is a graph of ?

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**Q17: **

The figure shows the graph of .

Which of the following is a graph of ?

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**Q18: **

The figure shows the graph of .

Which of the following is a graph of ?

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**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?

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**Q20: **

The figure shows the graph of .

Which of the following is a graph of ?

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**Q21: **

Which of the following is the graph of ?

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**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?

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**Q23: **

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

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**Q24: **

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

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