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 117+ 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 Microsoft

or continue with

Facebook

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

MATRIKS KELAS XI BHS

Quiz

•

11th Grade

20 questions

More Ordering Fractions Decimals Percents Greatest to Least

Quiz

•

6th Grade - University

20 questions

Réduction d'expressions littérales

Quiz

•

7th Grade - University

20 questions

Math 10C Labelling Right Triangles

Quiz

•

8th - 11th Grade

20 questions

ÔN TẬP GIỮA KỲ II - TOÁN 6

Quiz

•

9th - 12th Grade

20 questions

Circunferenci@

Quiz

•

11th Grade

20 questions

Soal PTS 1 MTK Kelas 5

Quiz

•

12th Grade

20 questions

排列組合

Quiz

•

10th - 11th Grade

Popular Resources on Wayground

10 questions

GPA Lesson

Presentation

•

9th - 12th Grade

7 questions

Albert Einstein

Quiz

•

3rd Grade

31 questions

Bridge A Review

Quiz

•

3rd Grade

6 questions

Blue Sue and Red Ruth

Quiz

•

3rd Grade

8 questions

(Day12 HW) Inverse Trig Ratios

Quiz

•

9th Grade

20 questions

Summer Geometry QUIZ (Week3)

Quiz

•

9th Grade

16 questions

Theme Practice

Quiz

•

7th Grade

20 questions

Taxes

Quiz

•

9th - 12th Grade

Discover more resources for Mathematics

17 questions

High School Survival Guide

Presentation

•

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