What is the DOMAIN of the function? f ( x ) = x + 3 f\left(x\right)\ =\ \sqrt{x+3} f ( x ) = x + 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

[ − 3 , ∞ ) \left[-3,\ \infty\right) [ − 3 , ∞ )

[ 0 , ∞ ) \left[0,\ \infty\right) [ 0 , ∞ )

[ 3 , ∞ ) \left[3,\ \infty\right) [ 3 , ∞ )

( − ∞ , 0 ] \left(-\infty,\ 0\right] ( − ∞ , 0 ]

Transformations of Square Root Functions

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSF.IF.B.5, HSF-IF.C.7B

+4

Standards-aligned

Shannon Dorrell

Used 303+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the transformations of this functions compared to the parent function?
$f\left(x\right)\ =\sqrt{x+2}$

Shifted down 2

Shifted up 2

Shifted left 2

Shifted right 2

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the transformations of this functions compared to the parent function?
$f\left(x\right)\ =\ -2\sqrt{x-5}$

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

2 mins • 1 pt

Which of the following is the function shown in the graph?

Tags

CCSS.HSF-IF.C.7B

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

State the transformations:
$f\left(x\right)\ =\ -3\sqrt{x-2}+1$

reflects over x axis, vertical stretch by 3, right 2, up 1

reflects over y axis, vertical compression by -3, left 2, up 1

reflects over x axis, vertical stretch by -3, left 2, up 1

reflects over y axis, vertical compression by 1/3, right 2, up 1

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation:
$f\left(x\right)\ =\ -\sqrt{x}$

Down 1

Reflect over y-axis

Up 1

Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the domain and range of the function
Hint: use the calculator to see the graph
$f\left(x\right)\ =\ -\sqrt{x-1}+4$

Domain: (-∞, ∞) Range: [-∞, 4]

Domain: [1, ∞) Range: (-∞, 4]

Domain: [-1. ∞) Range: [4, ∞)

Domain: [4, ∞) Range: [-1,∞)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the DOMAIN of the function?
$f\left(x\right)\ =\ \sqrt{x+3}$

$\left[-3,\ \infty\right)$

$\left[0,\ \infty\right)$

$\left[3,\ \infty\right)$

$\left(-\infty,\ 0\right]$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

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Transformations of Square Root Functions

10 questions

What are the transformations of this functions compared to the parent function?
$f\left(x\right)\ =\sqrt{x+2}$

What are the transformations of this functions compared to the parent function?
$f\left(x\right)\ =\ -2\sqrt{x-5}$

Which of the following is the function shown in the graph?

State the transformations:
$f\left(x\right)\ =\ -3\sqrt{x-2}+1$

Describe the transformation:
$f\left(x\right)\ =\ -\sqrt{x}$

Find the domain and range of the function
Hint: use the calculator to see the graph
$f\left(x\right)\ =\ -\sqrt{x-1}+4$

What is the DOMAIN of the function?
$f\left(x\right)\ =\ \sqrt{x+3}$

What is the domain of the function in this graph?

Describe the transformation:
$f\left(x\right)\ =\ 2\sqrt{x}$

Describe the transformations:
$f\left(x\right)\ =\ \sqrt{x+2}-4$

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Transformations of Square Root Functions

10 questions

What are the transformations of this functions compared to the parent function? f(x) =x+2f\left(x\right)\ =\sqrt{x+2}f(x) =x+2​

What are the transformations of this functions compared to the parent function? f(x) = −2x−5f\left(x\right)\ =\ -2\sqrt{x-5}f(x) = −2x−5​

Which of the following is the function shown in the graph?

State the transformations: f(x) = −3x−2+1f\left(x\right)\ =\ -3\sqrt{x-2}+1f(x) = −3x−2​+1

Describe the transformation: f(x) = −xf\left(x\right)\ =\ -\sqrt{x}f(x) = −x​

Find the domain and range of the functionHint: use the calculator to see the graph f(x) = −x−1+4f\left(x\right)\ =\ -\sqrt{x-1}+4f(x) = −x−1​+4

What is the DOMAIN of the function? f(x) = x+3f\left(x\right)\ =\ \sqrt{x+3}f(x) = x+3​

What is the domain of the function in this graph?

Describe the transformation: f(x) = 2xf\left(x\right)\ =\ 2\sqrt{x}f(x) = 2x​

Describe the transformations: f(x) = x+2−4f\left(x\right)\ =\ \sqrt{x+2}-4f(x) = x+2​−4

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What are the transformations of this functions compared to the parent function?
$f\left(x\right)\ =\sqrt{x+2}$

What are the transformations of this functions compared to the parent function?
$f\left(x\right)\ =\ -2\sqrt{x-5}$

State the transformations:
$f\left(x\right)\ =\ -3\sqrt{x-2}+1$

Describe the transformation:
$f\left(x\right)\ =\ -\sqrt{x}$

Find the domain and range of the function
Hint: use the calculator to see the graph
$f\left(x\right)\ =\ -\sqrt{x-1}+4$

What is the DOMAIN of the function?
$f\left(x\right)\ =\ \sqrt{x+3}$

Describe the transformation:
$f\left(x\right)\ =\ 2\sqrt{x}$

Describe the transformations:
$f\left(x\right)\ =\ \sqrt{x+2}-4$