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Transformation of Square Root Functions

Authored by Anthony Clark

Mathematics

11th Grade

20 Questions

CCSS covered

Transformation of Square Root Functions
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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of the graph?

y = √(x - 3)

y = √(x) + 3

y = √(x - 5) + 4

y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Shifted right 5, shifted down 2, and reflected over the x-axis

Reflected over the x-axis, vertical stretch by 2, and shifted right 5

Reflected over the x-axis, vertical stretch by 2, and shifted left 5

Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

f(x) = -√(x) - 2

Reflect over x-axis
Down 2

Reflect over y-axis
Up 2

Reflect over x-axis
Up 2

Reflect over y-axis
Down 2

Tags

CCSS.HSF.BF.B.3

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

Vertical Stretch by a factor of 2; translated down 5 units 

Shifted right 2 units and down 5 units 

Vertical stretch by a factor of 2; translated left 5 units

Vertical stretch by a factor of 2; translated right one unit 

Tags

CCSS.HSF.BF.B.3

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Write the square root function that has the following transformations:

a) horizontal reflection over the y-axis

b) vertical shift up 2

c) vertical stretch by a factor of 3

(start your answer with y= )

Mathematical Equivalence

ON

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Describe the transformation.

Vertical Stretch by 3

Vertical Shrink by 3

Horizontal Shrink by 3

Horizontal Stretch by 3

Tags

CCSS.HSF.BF.B.3

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