In this worksheet, we will practice how to identify horizontal and vertical stretches of graphs.

**Q3: **

The red graph in the figure represents the equation and the orange graph represents the equation . Express as a transformation of .

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**Q4: **

The red graph in the figure represents the equation and the purple graph represents the equation . Express as a transformation of .

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**Q5: **

The figure shows the graph of .

Which of the following is the graph of ?

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**Q6: **

The figure shows the graph of .

Which of the following is the graph of ?

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**Q7: **

The figure shows the graph of .

Which of the following is the graph of ?

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**Q8: **

The figure shows the graph of .

Which of the following is the graph of ?

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**Q9: **

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .

- A(4,2)
- B(2,1)
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- D(1,1)
- E(4,1)

**Q10: **

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .

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**Q11: **

The red graph in the figure represents the equation and the green graph represents the equation . Express as a transformation of .

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**Q12: **

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .

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**Q13: **

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**Q14: **

The function is stretched in the vertical direction by a scale factor of 2. Write, in terms of , the equation of the transformed function.

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