Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=\frac{4}{5}f\left(x\right)$$

vertical shrink by $$\frac{4}{5}$$

horizontal shrink by $$\frac{4}{5}$$

horizontal stretch by $$\frac{4}{5}$$

vertical stretch by $$\frac{4}{5}$$

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=\frac{9}{2}f\left(x\right)$$

vertical stretch by $$\frac{9}{2}$$

horizontal shrink by $$\frac{9}{2}$$

horizontal stretch by $$\frac{9}{2}$$

vertical shrink by $$\frac{9}{2}$$

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(\frac{1}{4}x\right)$$

horizontal shrink by $$\frac{1}{4}$$

horizontal stretch by $$\frac{1}{4}$$

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(x\right)+3.5$$

horizontal translation left 3.5

horizontal translation right 3.5

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(\frac{9}{2}x\right)$$

horizontal shrink by $$\frac{2}{9}$$

horizontal shrink by $$\frac{9}{2}$$

horizontal stretch by $$\frac{9}{2}$$

horizontal stretch by $$\frac{2}{9}$$

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(5x\right)$$

horizontal shrink by $$\frac{1}{5}$$

horizontal stretch by $$\frac{1}{5}$$

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(x\right)-2.8$$

horizontal translation left 2.8

horizontal translation right 2.8

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(\frac{3}{7}x\right)$$

horizontal stretch by $$\frac{7}{3}$$

horizontal shrink by $$\frac{3}{7}$$

horizontal stretch by $$\frac{3}{7}$$

horizontal shrink by $$\frac{7}{3}$$

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=-f\left(x\right)+3$$

reflection over the x-axis and a vertical translation up 3

reflection over the y-axis and a vertical translation down 3

reflection over the x-axis and a vertical translation down 3

reflection over the y-axis and a vertical translation up 3

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=\frac{1}{5}f\left(-x\right)$$

vertical shrink by 1/5 and a reflection over the y-axis

vertical stretch by 1/5 and a reflection over the y-axis

vertical shrink by 1/5 and a reflection over the x-axis

vertical stretch by 1/5 and a reflection over the x-axis

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(x+2\right)-1$$

horizontal translation left 2 and vertical translation down 1

horizontal translation right 2 and vertical translation down 1

horizontal translation left 2 and vertical translation up 1

horizontal translation right 2 and vertical translation up 1

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(-7x\right)$$

horizontal shrink by 1/7 and reflection over y-axis

horizontal shrink by 1/7 and reflection over x-axis

horizontal shrink by 7 and reflection over y-axis

horizontal shrink by 7 and reflection over x-axis

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=f\left(\frac{1}{5}x\right)+8$$

horizontal stretch by 5 and vertical translation up 8

horizontal shrink by 1/5 and vertical translation down 8

horizontal shrink by 1/5 and vertical translation up 8

horizontal stretch by 5 and vertical translation down 8

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=2f\left(x-6\right)+15$$

horizontal translation right 6, vertical stretch by 2, vertical translation up 15

horizontal translation left 6, vertical stretch by 2, vertical translation down 15

horizontal translation left 6, vertical stretch by 2, vertical translation up 15

horizontal translation right 6, vertical stretch by 2, vertical translation down 15

Describe the transformation from the graph of f to the graph of g. $$g\left(x\right)=\frac{7}{3}f\left(x+2\right)$$

horizontal translation left 2, vertical stretch by $$\frac{7}{3}$$

horizontal translation right 2, vertical stretch by $$\frac{7}{3}$$

horizontal translation left 2, vertical shrink by $$\frac{3}{7}$$

horizontal translation right 2, vertical shrink by $$\frac{3}{7}$$

Transformations in Function Notation

9th - 11th Grade

•

25 Qs

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Transformations in Function Notation

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3

Standards-aligned

Sarah Leivian

Used 14+ times

FREE Resource

25 questions

Show all answers

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

horizontal shrink by 0.75

horizontal stretch by 0.75

vertical shrink by 0.75

vertical stretch by 0.75

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

reflection over the y-axis

reflection over the x-axis

vertical stretch by a factor of -1

vertical shrink by a factor of -1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

horizontal translation left 12

horizontal translation right 12

vertical translation down 12

vertical translation up 12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

horizontal translation left 9

horizontal translation right 9

vertical translation down 9

vertical translation up 9

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

horizontal translation left 12

horizontal translation right 12

vertical translation up 12

vertical translation down 12

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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