# Worksheet: Function Transformations: Dilation

In this worksheet, we will practice identifying function transformations involving horizontal and vertical stretches or compressions.

Q1:

Given the graph of , which of the following is the graph of ? • A • B • C • D Q2:

Which of the following graphs represents ? • A(c)
• B(b)
• C(a)
• D(d)

Q3:

Which of the following graphs represents ? • A(a)
• B(c)
• C(b)
• D(d)

Q4:

The figure shows the graph of . Which of the following is the graph of ?

• A • B • C • D • E Q5:

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

Q6:

The figure shows the graph of . Which of the following is the graph of ?

• A • B • C • D • E Q7:

The figure shows the graph of . Which of the following is the graph of ?

• A • B • C • D • E Q8:

The red graph in the figure represents the equation and the blue graph represents the equation . Express as a transformation of . • A
• B
• C
• D
• E

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
• B
• C
• D
• E

Q10:

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

• A
• B
• C
• D
• E

Q11:

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
• B
• C
• D
• E

Q12:

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation . • A(1,1)
• B(4,2)
• C(2,1)
• D(4,1)
• E

Q13:

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
• B
• C
• D
• E

Q14:

The figure shows the graph of . Which of the following is the graph of ?

• A • B • C • D • E Q15:

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

Q16:

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

Q17:

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

Q18:

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