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Transformations of Square Root, Cubic and Cube Root

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Transformations of Square Root, Cubic and Cube Root
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

1/4 ∛(x + 9)

1/4 ∛(x - 9)

- 1/4 ∛(x + 9)

- 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the cube root. 

9

3

-9

-3

Tags

CCSS.8.EE.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the Transformations. 

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Vertical stretch by 2 and up 4

Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What kind of function is represented by the graph?

Cube Root Function

Cubic Function

Polynomial Function

Square Root Function

Tags

CCSS.HSF-IF.C.7B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f(x) = ∛(x) is reflected over the x-axis, vertically shrunk by a factor of 1/4, and shifted left 9, which equation is correct?

1/4 ∛(x + 9)

1/4 ∛(x - 9)

- 1/4 ∛(x + 9)

- 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these equations shifts a radical equation right 5 times and down once?

y = √(x - 5) - 1

y = √(x + 5) - 1

y = √(x - 5) + 1

y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the transformations of this functions compared to the parent function?

Shifted down 2

Shifted up 2

Shifted left 2

Shifted right 2

Tags

CCSS.HSF.BF.B.3

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