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Graphs of Square Root Functions

Authored by Chung Erica

Mathematics

10th - 12th Grade

CCSS covered

Graphs of Square Root Functions
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7 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is parent function for the square root?

f(x)=x2f\left(x\right)=x^2

f(x)=xf\left(x\right)=\left|x\right|

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

Tags

CCSS.HSF.IF.A.1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following describe the transformations that occurred from parent function for the square root to  g(x)=3x42g\left(x\right)=3\sqrt{x-4}-2  

shifted down 2, shifted left 4, vertical stretch

shifted up 2, shifted left 4, vertical stretch

shifted down 2, shifted right 4, vertical compression

shifted down 2, shifted right 4, vertical stretch

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following describe the transformations that occurred from parent function for the square root to  g(x)=2x+3g\left(x\right)=-2\sqrt{x+3}  

shifted left 3, vertical compression, vertical reflection

shifted right 3, vertical compression, horizontal reflection

shifted left 3, vertical stretch, reflection over x-axis

shifted left 3, vertical stretch, reflection over y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following describe the transformations that occurred from f(x)=xf\left(x\right)=\sqrt{x}  to  g(x)=x+1+8g\left(x\right)=\sqrt{-x+1}+8  

shifted 8 up, shifted 1 left, horizontal reflection

shifted 8 up, shifted 1 right, reflection over the x-axis

shifted 8 down, shifted 1 right, reflection over the y-axis

shifted 8 down, shifted 1 left, horizontal reflection

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

What is the equation of the graph?

f(x)=x+1+2f\left(x\right)=\sqrt{x+1}+2

f\left(x\right)=\sqrt{x-1}+2

f(x)=x2+1f\left(x\right)=\sqrt{x-2}+1

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

What is the equation of the graph?

f(x)=x4f\left(x\right)=\sqrt{x-4}

f(x)=x+4f\left(x\right)=\sqrt{x}+4

f(x)=x+4f\left(x\right)=\sqrt{x+4}

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

What is the equation for the graph?

f(x)=x3+1f\left(x\right)=\sqrt{-x-3}+1


f(x)=x+3+1f\left(x\right)=\sqrt{-x+3}+1

f(x)=x+3+1f\left(x\right)=-\sqrt{x+3}+1

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

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