Function Transformations: The basics

Authored by Katha Fields

Mathematics

9th Grade

CCSS covered

Used 5+ times

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7 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)=3f\left(x\right)$

vertical shift up 3

horizontal shift 3 to the right

vertical stretch by factor of 3

vertical compression by factor of 3

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)=f\left(x+4\right)$

horizontal shift 4 to the left

horizontal shift 4 to the right

vertical shift up 4

vertical shift down 4

vertical stretch by factor of 4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

vertical stretch by 7

horizontal shift 7 to right

horizontal shift 7 to left

vertical shift 7 up

vertical shift 7 down

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)=f\left(x\right)+6$

vertical stretch by 6

vertical shift up 6

horizontal shift 6 right

horizontal shift 6 left

vertical shift down 6

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)=f\left(x\right)-1$

vertical stretch by factor of -1

vertical shift down 1

vertical shift up 1

horizontal shift left 1

horizontal shift right 1

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)=-f\left(x\right)$

reflect over the x-axis

reflect over the y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)=\frac{1}{2}f\left(x\right)$

vertical stretch by a factor of 1/2

vertical compression by a factor of 1/2

vertical shift to the right by 1/2

vertical shift to the left by 1/2

Tags

CCSS.HSF.BF.B.3

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Function Transformations: The basics

g(x)=3f(x)g\left(x\right)=3f\left(x\right)g(x)=3f(x)

g(x)=f(x+4)g\left(x\right)=f\left(x+4\right)g(x)=f(x+4)

g(x)=f(x−7)g\left(x\right)=f\left(x-7\right)g(x)=f(x−7)

g(x)=f(x)+6g\left(x\right)=f\left(x\right)+6g(x)=f(x)+6

g(x)=f(x)−1g\left(x\right)=f\left(x\right)-1g(x)=f(x)−1

g(x)=−f(x)g\left(x\right)=-f\left(x\right)g(x)=−f(x)

g(x)=12f(x)g\left(x\right)=\frac{1}{2}f\left(x\right)g(x)=21​f(x)

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$g\left(x\right)=3f\left(x\right)$

$g\left(x\right)=f\left(x+4\right)$

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

$g\left(x\right)=f\left(x\right)+6$

$g\left(x\right)=f\left(x\right)-1$

$g\left(x\right)=-f\left(x\right)$

$g\left(x\right)=\frac{1}{2}f\left(x\right)$