# Worksheet: Horizontal and Vertical Stretches

Q1:

The figure shows the graph of .

Which of the following is the graph of ?

• A
• B
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• E

Q2:

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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• E

Q3:

The figure shows the graph of .

Which of the following is the graph of ?

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• E

Q4:

The figure shows the graph of .

Which of the following is the graph of ?

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Q5:

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

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• E

Q6:

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

• A
• B
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• D
• E

Q7:

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

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Q8:

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

• A
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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)
• C
• D(1,1)
• E(4,1)

Q10:

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

• A
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• E

Q11:

The figure shows the graph of .

Which of the following is the graph of ?

• A
• B
• C
• D
• E

Q12:

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

• A
• B
• C
• D

Q13:

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

• A
• B
• C
• D
• E

Q14:

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

• A
• B
• C
• D
• E

Q15:

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

• A
• B
• C
• D
• E