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

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

18 questions

Intervals, Errors i Aproximacions (4ESO)

Quiz

•

10th Grade

20 questions

Addition Decimals 1

Quiz

•

7th - 10th Grade

20 questions

Sumatif Tengah Semester Genap

Quiz

•

7th Grade - University

16 questions

Giới hạn dạng 0/0 (phần 1)

Quiz

•

11th Grade

20 questions

Conversion Metric to Metric

Quiz

•

7th Grade - University

19 questions

Vektoren, Geraden und Ebenen

Quiz

•

10th - 12th Grade

20 questions

ทบทวนกันซักนิด

Quiz

•

9th - 12th Grade

20 questions

Deret Kombinasi

Quiz

•

11th Grade

Popular Resources on Wayground

15 questions

Grade 3 Simulation Assessment 1

Quiz

•

3rd Grade

22 questions

HCS Grade 4 Simulation Assessment_1 2526sy

Quiz

•

4th Grade

16 questions

Grade 3 Simulation Assessment 2

Quiz

•

3rd Grade

19 questions

HCS Grade 5 Simulation Assessment_1 2526sy

Quiz

•

5th Grade

17 questions

HCS Grade 4 Simulation Assessment_2 2526sy

Quiz

•

4th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

24 questions

HCS Grade 5 Simulation Assessment_2 2526sy

Quiz

•

5th Grade

20 questions

Math Review

Quiz

•

3rd Grade

Discover more resources for Mathematics

5 questions

A.F/ST Quizizz Day 1

Quiz

•

9th - 12th Grade

5 questions

G.PC/DF Quizizz Day 2

Quiz

•

9th - 12th Grade

5 questions

A.F/ST Quizizz Day 5

Quiz

•

9th - 12th Grade

5 questions

A.F/ST Quizizz Day 3

Quiz

•

9th - 12th Grade

5 questions

G.PC/DF Quizizz Day 1

Quiz

•

9th - 12th Grade

5 questions

A.F/ST Quizizz Day 4

Quiz

•

9th - 12th Grade

20 questions

Circle vocabulary quiz

Quiz

•

10th Grade

5 questions

A.F/ST Quizizz Day 2

Quiz

•

9th - 12th Grade

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?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

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