Free Printable Multi Step Transformations of Parent Functions

1.

Match the following transformations with the correct equations.

a)

right 3

1.

$\left(x-3\right)^3$

b)

left 3

2.

$\left(x+3\right)^3$

c)

up 3

3.

$x^3+3$

d)

down 3

4.

$x^3-3$

2.

Match the following transformations and equations.

a)

Vertical Stretch

1.

$2\ \sqrt[]{x}$

b)

Vertical Shrink

2.

$\frac{1}{2}\ \sqrt[]{x}$

c)

Horizontal Stretch

3.

$\sqrt[]{\frac{1}{2}x}$

d)

Horizontal Shrink

4.

$\sqrt[]{2x}$

3.

Match the following equations and transformations.

a)

x-axis reflection

1.

$-x^2$

b)

y-axis reflection for a cubic

2.

$\left(-x\right)^3$

c)

y-axis reflection for a cube root

3.

$\sqrt[3]{-x}$

4.

Describe the transformation from the parent absolute value function:

$y=\left|x\right|-5$

a)

Shift up 5 units

b)

Shift down 5 units

c)

Shift right 5 units

d)

Shift left 5 units

5.

Describe the transformation from the parent absolute value function:

$y=\left|x\right|+5$

a)

Shift up 5 units

b)

Shift down 5 units

c)

Shift right 5 units

d)

Shift left 5 units

6.

Describe the transformation from the parent quadratic function:

$y=\left(x-2\right)^2$

a)

Shift up 2 units

b)

Shift down 2 units

c)

Shift right 2 units

d)

Shift left 2 units

7.

Describe the transformation from the parent square root function:

$y=\sqrt[]{x+4}$

a)

Shift up 4 units

b)

Shift down 4 units

c)

Shift right 4 units

d)

Shift left 4 units

8.

Describe the transformation from the parent absolute value function:

$y=8\left|x\right|$

a)

Vertical stretch by a factor of 8

b)

Vertical shrink by a factor of 8

9.

Describe the transformation from the parent absolute value function:

$y=\left|8x\right|$

a)

Horizontal stretch by a factor of 8

b)

Horizontal shrink by a factor of 8

10.

Describe the transformation from the parent quadratic function:

$y=\frac{1}{4}x^2$

a)

Vertical stretch by a factor of 4

b)

Vertical shrink by a factor of 4

11.

Describe the transformation from the parent quadratic function:

$y=\left(\frac{1}{4}x\right)^2$

a)

Horizontal stretch by a factor of 4

b)

Horizontal shrink by a factor of 4

12.

Order the following transformations in the correct order with Hippies Sell RV's!

$f\left(x\right)=-\left|x-6\right|-3$

a)

right 6

b)

x-axis reflection

c)

down 3

1)

2)

3)

Multi Step Transformations of Parent Functions

Total questions: 12

Worksheet time: 13mins

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