What transformations has the function undergone?

reflect over x, vertical stretch by 2, right 5, up 1

reflect over y, vertical compression by 2, right 5, up 1

reflect over x, horizontal compression by 2, left 5, up 1

reflect over y, horizontal stretch by -2, right 5, up 1

Vertical compression by ⅓ and left 9

Vertical compression ⅓ and right 9

Horizontal stretch by 3 and left 9

Horizontal stretch by 3 and right 9

Vertically stretched by 6 and reflected over the y-axis

Vertically stretched by 6 and reflected over the x-axis

Vertically compressed by 6 and reflected over the y-axis

Vertically compressed by 6 and reflected over the x-axis

Identify the equation of the transformed graph.

f ( x ) = ∣ x − 2 ∣ f\left(x\right)\ =\ \left|x-2\right| f ( x ) = ∣ x − 2 ∣

f ( x ) = ∣ x + 2 ∣ f\left(x\right)\ =\ \left|x+2\right| f ( x ) = ∣ x + 2 ∣

f ( x ) = ∣ x + 2 ∣ + 2 f\left(x\right)\ =\ \left|x+2\right|+2 f ( x ) = ∣ x + 2 ∣ + 2

f ( x ) = ∣ x − 2 ∣ + 2 f\left(x\right)\ =\ \left|x-2\right|+2 f ( x ) = ∣ x − 2 ∣ + 2

Describe the transformation from the absolute value parent function.

Vertically compressed by 1 5 \frac{1}{5} 5 1 and translated down 4 units

Vertically stretched by 1 5 \frac{1}{5} 5 1 and translated up 4 units

Vertically stretched by 5 and translated down 4 units

Vertically compressed by 5 and translated up 4 units

Which of these Square Root functions has shifted left 3?

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">

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

f ( x ) = x − 3 f\left(x\right)\ =\sqrt{x}-3 f ( x ) = x <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

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">

Which of these Square Root functions shifted right 5 and down 1?

f ( x ) = x − 5 − 1 f\left(x\right)=\sqrt{x-5}-1 f ( x ) = 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"> − 1

f ( x ) = x − 5 + 1 f\left(x\right)=\sqrt{x-5}+1 f ( x ) = 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"> + 1

f ( x ) = x + 5 − 1 f\left(x\right)=\sqrt{x+5}-1 f ( x ) = 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"> − 1

f ( x ) = x + 5 + 1 f\left(x\right)=\sqrt{x+5}+1 f ( x ) = 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"> + 1

What are the transformations of the function compared to the parent function f(x) = √x

Vertical Stretch by a factor of 2; translated down 5

Shifted right 2 units and down 5 units

Vertical stretch by a factor of 2; translated left

Vertical stretch by a factor of 2; translated right one

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 ) = − 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

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

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

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

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

Function Transformations Review

Authored by Shannon Dorrell

Mathematics

11th - 12th Grade

CCSS covered

Used 115+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

25 questions

Show all answers

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation that occurred.
f(x) = (x - 7)²

Down 7

Up 7

Right 7

Vertically compressed by 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation that occurred
f(x) = x + 1

Left 1

Right 1

down 1

up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What are the transformations of:

$f\left(x\right)\ =-\left(x-4\right)^3+2$

Reflect over x-axis, left 4, and up 2

Reflect over x-axis, right 4, and up 2

Reflect over y-axis, left 4, and up 2

Reflect over y-axis, right 4, and up 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation that occurred.
f(x) = x³ + 2

Down 2

Left 2

Up 2

Right 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

right 3, up 2, reflected across the y-axis

right 3, up 2, reflected across the x-axis

left 3, up 2, reflected across the y-axis

left 3, up 2, reflected across the x-axis

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following is the equation for the cubic function graphed above

$y=\left(x+4\right)^3+3$

$y=\left(x+4\right)^3-3$

$y=\left(x-4\right)^3+3$

$y=\left(x-4\right)^3-3$

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation of the graph f(x) = -2(x + 5)³

Vertically compressed by 2, Reflected over y-axis, Right 5

Vertically stretched by 2, Reflected over x-axis, Left 5

Vertically stretched by 2, Reflected over x-axis, Right 5

Vertically compressed by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What function has the transformations:
Left 4 and up 7

$f\left(x\right)\ =\ \left|x+4\right|+7$

$f\left(x\right)\ =\ \left(x-4\right)^2\ +\ 7$

$f\left(x\right)\ =\ \left(x+7\right)^2-\ 4$

$f\left(x\right)\ =\ \left|x+4\right|-7$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What function has the transformations:
Vertical stretch by 7 and Reflected over x-axis

$f\left(x\right)\ =\ -7x^2$

$f\left(x\right)\ =\ 7\left|-x\right|$

$f\left(x\right)\ =\ \sqrt{-7x}$

$f\left(x\right)\ =\ -\left|7x\right|$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

20 questions

G12_Math+for+Bus+Eco_Term+Exam_Mock+Test

Quiz

•

12th Grade

20 questions

Turunan / Diferensial Part 1

Quiz

•

11th Grade

20 questions

Ulangan Persaman Lingkaran

Quiz

•

11th Grade

20 questions

Întrebări despre mulțimi

Quiz

•

8th Grade - University

20 questions

CẤP SỐ CỘNG VÀ CẤP SỐ NHÂN

Quiz

•

11th Grade

20 questions

Basic Math (M32102)

Quiz

•

10th - 11th Grade

20 questions

Ulangan 01_ Polinomial

Quiz

•

11th Grade

20 questions

常用對數小測驗

Quiz

•

10th - 12th Grade

Popular Resources on Wayground

10 questions

Factors 4th grade

Quiz

•

4th Grade

10 questions

Cinco de Mayo Trivia Questions

Interactive video

•

3rd - 5th Grade

13 questions

Cinco de mayo

Interactive video

•

6th - 8th Grade

20 questions

Math Review

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

Discover more resources for Mathematics

5 questions

A.EO.1-4 Quizizz Day 1

Quiz

•

9th - 12th Grade

5 questions

A.EO.1-4 Quizizz Day 2

Quiz

•

9th - 12th Grade

5 questions

A.EI.1-3 Quizizz Day 4

Quiz

•

9th - 12th Grade

5 questions

A.EI.1-3 Quizizz Day 6

Quiz

•

9th - 12th Grade

5 questions

G.RLT.1-3 Quizizz Day 1

Quiz

•

9th - 12th Grade

59 questions

Big Review! AP Precalculus

Quiz

•

12th Grade

5 questions

G.TR.1-4 Quizizz Day 1

Quiz

•

9th - 12th Grade

20 questions

TSI Math Practice Questions

Quiz

•

9th - 12th Grade

Function Transformations Review

Describe the transformation that occurred.f(x) = (x - 7)2

Describe the transformation that occurredf(x) = x + 1

What are the transformations of: f(x) =−(x−4)3+2f\left(x\right)\ =-\left(x-4\right)^3+2f(x) =−(x−4)3+2

Describe the transformation that occurred.f(x) = x3 + 2

If f(x) = x3 is changed to f(x) = - (x + 3)3 + 2, how is the graph transformed?

Which of the following is the equation for the cubic function graphed above

Describe the transformation of the graph f(x) = -2(x + 5)3

What transformations has the function undergone?

What function has the transformations:Left 4 and up 7

What function has the transformations:Vertical stretch by 7 and Reflected over x-axis

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Describe the transformation that occurred.
f(x) = (x - 7)²

Describe the transformation that occurred
f(x) = x + 1

What are the transformations of:

$f\left(x\right)\ =-\left(x-4\right)^3+2$

Describe the transformation that occurred.
f(x) = x³ + 2

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

Describe the transformation of the graph f(x) = -2(x + 5)³

What function has the transformations:
Left 4 and up 7

What function has the transformations:
Vertical stretch by 7 and Reflected over x-axis