The graph of $$f\left(x\right)=x^2\ $$ was transformed to create the graph of $$g\left(x\right)=f\left(x\right)-9.$$ Which statement about the graphs is true?

The y-intercept of the graph of $$g$$ is 9 units below the y-intercept of the graph of $$f.$$

The graph of $$g$$ is a reflection of the graph of $$f$$ across the x-axis.

The vertex of the graph of $$g$$ is 9 units to the right of the vertex of the graph of $$f.$$

The graph of $$g$$ is a reflection of the graph of $$f$$ across the y-axis.

The graph of $$g\left(x\right)=x^2$$ was transformed to create the graph of $$h\left(x\right)=3f\left(x\right)-5$$ . Which of the following statements are true? Select TWO correct answers.

The vertex of the graph of $$h$$ is 5 units below the vertex of graph $$g$$

The graph of $$h$$ will be narrower than the graph of $$g$$

The graph of $$h$$ will be wider than the graph of $$g$$

The vertex of the graph of $$h$$ is 5 units to the right of the vetex of the graph $$g$$

The y-intercept of the graph of $$h$$ is 5 units above the vertex of graph $$g$$

Transformations of Quadratic Functions

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.3, HSG.CO.A.2, HSA.CED.A.2

+7

Standards-aligned

Daniele Gudgen

Used 11+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

5.

MATH RESPONSE QUESTION

2 mins • 1 pt

Mathematical Equivalence

ON

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A reflection over the x-axis and a horizontal stretch.

A reflection over the y-axis and a horizontal stretch

A reflection over the x-axis and a vertical stretch

A reflection over the y-axis an a vertical stretch

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A horizontal shift to the right 7.5 units

A horizontal shift to the left 7.5 units

A vertical shift down 56.25 units

A vertical shift up 56.25 units

Tags

CCSS.HSF.BF.B.3

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