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Transformations of Square and Cube Root Functions

Authored by Maura Twillman

Mathematics

10th - 11th Grade

CCSS covered

Used 176+ times

Transformations of Square and Cube Root Functions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the domain of ALL cube root functions?

(−∞,∞)

[0,∞)

(−∞,0]

All cube root functions are different.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Which of the facts is NOT true about the graph shown?

The range is y ∈ ℝ (all real numbers)

The function has been shifted 6 units right

The function has been shifted up 1 unit

The function has been vertically stretched by a factor of 2

Tags

CCSS.HSF-IF.C.7B

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

The function has been shifted right 6

It has been reflected over the x-axis

The function has been shifted up 1 unit

The function has been shifted up 2 units

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the equation of the function that is graphed?

f(x)=xf\left(x\right)=-\sqrt{x}

f(x)=x1f\left(x\right)=\sqrt{x-1}

f(x)=xf\left(x\right)=-\sqrt{-x}

f(x)=xf\left(x\right)=\sqrt{-x}

Tags

CCSS.HSF-IF.C.7B

5.

MULTIPLE CHOICE QUESTION

15 mins • 12 pts

Media Image

What are the transformations to the graph compared to the parent function?

Shifted right 2, shifted up 3, and reflected over the y-axis
Shifted left 2, shifted up 3, and reflected over the y-axis
Shifted left 2, shifted up 3, and reflected over the x-axis
Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Identify the transformations

Down 2

Up 2

Left 2

Reflection and down 2

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Describe the transformations.

Translate Right 2, Down 4

Translate Left 2, Down 4

Translate Left 2, Up 4

Translate Right 2, Up 4

Tags

CCSS.HSF.BF.B.3

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