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

Domain is described as

All x values, from left to right.

All y values, from bottom to top.

All x values from bottom to top.

All y values from left to right.

Range is described as

All y values, from bottom to top.

All x values, from left to right.

All y values, from left to right.

All x values, from bottom to top.

What is the domain and range of the square root function? In inequality notation, please.

D : x ≥ 0 , R : y ≥ 0 D:\ x\ge0,\ R:\ y\ge0 D : x ≥ 0 , R : y ≥ 0

D : x > 0 , R : y > 0 D:\ x\ >0,\ R:\ y>0 D : x > 0 , R : y > 0

D : x > ∞ R : x < ∞ D:\ x\ >\infty\ R:\ x\ <\infty D : x > ∞ R : x < ∞

D : x < ∞ R : y < ∞ D:\ x<\infty\ R:\ y<\infty D : x < ∞ R : y < ∞

What is the equation of the graph?

y = x − 5 + 4 y\ =\ \sqrt{x-5}+4 y = x − 5 <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"> + 4

y = x − 5 − 4 y\ =\ \sqrt{x-5}\ -4 y = x − 5 <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"> − 4

y = x + 4 + 5 y\ =\ \sqrt{x\ +\ 4}\ +\ 5 y = x + 4 <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"> + 5

y = x + 5 + 4 y\ =\ \sqrt{x\ +5\ }\ +4 y = x + 5 <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"> + 4

What function best describes this graph?

f ( x ) = x − 4 − 2 f\left(x\right)\ =\ \sqrt{x-4}-2 f ( x ) = x − 4 <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"> − 2

f ( x ) = − x + 4 − 2 f\left(x\right)\ =-\sqrt{x+4}-2 f ( x ) = − x + 4 <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"> − 2

f ( x ) = − × − 4 − 2 f\left(x\right)\ =\ -\sqrt{\times-4}-2 f ( x ) = − × − 4 <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"> − 2

f ( x ) = x + 4 + 2 f\left(x\right)\ =\ \sqrt{x+4}\ +\ 2 f ( x ) = x + 4 <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"> + 2

Square Root Functions and Equations Quiz

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

15 mins • 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

15 mins • 1 pt

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

Tags

CCSS.HSF-IF.C.7B

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation.

Down 1

Reflect over y-axis

Up 1

Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Identify the Range

(- ∞, -2 ]

[ -2, ∞ )

All Real Numbers

[ 0, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

Domain: (-∞, ∞) Range: [-∞, 4]

Domain: [1, ∞) Range: (-∞, 4]

Domain: [-1. ∞) Range: [4, ∞)

Domain: [4, ∞) Range: [-1,∞)

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the DOMAIN of the function?

[-3, $\infty$ )

[0, $\infty$ )

[3, $\infty$ )

(- $\infty$ , 0}

Tags

CCSS.HSF.IF.B.5

CCSS.HSA.REI.D.10

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Square Root Functions and Equations

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

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

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

Describe the transformation.

Identify the Range

Find the domain and range of the functionHint: Use a scratch graph to help you visualize things.

What is the DOMAIN of the function?

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

Which is the graph of the square root parent function?

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Discover more resources for Mathematics

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

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