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Multi Step Transformations of Parent Functions

Authored by Laura Sulfridge

Mathematics

11th Grade

CCSS covered

Used 11+ times

Multi Step Transformations of Parent Functions
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12 questions

Show all answers

1.

MATCH QUESTION

1 min • 1 pt

Match the following transformations with the correct equations.

(x−3)3\left(x-3\right)^3

right 3

x3−3x^3-3

up 3

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

left 3

x3+3x^3+3

down 3

2.

MATCH QUESTION

1 min • 1 pt

Match the following transformations and equations.

2x\sqrt[]{2x}

Horizontal Stretch

12 x\frac{1}{2}\ \sqrt[]{x}

Horizontal Shrink

2 x2\ \sqrt[]{x}

Vertical Shrink

12x\sqrt[]{\frac{1}{2}x}

Vertical Stretch

3.

MATCH QUESTION

1 min • 1 pt

Match the following equations and transformations.

−x3\sqrt[3]{-x}

x-axis reflection

−x2-x^2

y-axis reflection for a cube root

(−x)3\left(-x\right)^3

y-axis reflection for a cubic

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation from the parent absolute value function:

y=∣x∣−5y=\left|x\right|-5  

Shift up 5 units

Shift down 5 units

Shift right 5 units

Shift left 5 units

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation from the parent absolute value function:

y=∣x∣+5y=\left|x\right|+5  

Shift up 5 units

Shift down 5 units

Shift right 5 units

Shift left 5 units

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation from the parent quadratic function:

y=(x−2)2y=\left(x-2\right)^2  

Shift up 2 units

Shift down 2 units

Shift right 2 units

Shift left 2 units

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation from the parent square root function:

y=x+4y=\sqrt[]{x+4}  

Shift up 4 units

Shift down 4 units

Shift right 4 units

Shift left 4 units

Tags

CCSS.HSF.BF.B.3

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