What causes the graph of y = x 2 to open downward?

multiply the x 2 by a negative number

multiply the x 2 by a number greater than 1

How did we transform from the parent function? y = -1/2(x - 1) 2 + 3

reflection, vertical compression, horizontal right, vertical up

vertical compression, horizontal shift left, vertical shift up

reflection, horizontal shift right, vertical shift down

no changes were made to y = x 2

How does " a " transform the parent function in f(x) = a (bx − c) 2 + d?

Vertically stretches or compresses the graph

Horizontally stretches or compresses the graph

How does " c " transform the parent function to the new function below: f(x) = 2(x + 3 ) 2 + 4

horizontally slides the graph to the left 3 units

vertically slides the graph up 3 units

horizontally slides the graph to the right 3 units

vertically slides the graph down 3 units

How does " d " transform the parent function to get the new function below: f(x) = -2(4x − 6) 2 + 10

vertically slides the graph 10 units up

vertically slides the graph down 10 units

vertically compresses the graph

Describe the transformations

Vertical stretch 7 Horizontal shrink 1/2 Reflection y-axis Left 3

Vertical stretch 7 Horizontal shrink 2 Reflection y-axis Right 6

Vertical stretch 7 Horizontal shrink 1/2 Reflection x-axis Left 6

Vertical stretch 7 Horizontal shrink 2 Reflection x-axis Right 3

Algebraic Transformations

Quiz

•

Mathematics

•

9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.B.3, 8.F.A.1, HSF-IF.C.7A

+1

Standards-aligned

Barbara White

FREE Resource

35 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Left 4

Right 4

Up 4

Down 4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What causes the graph of y = x² to open downward?

multiply the x² by a fraction

multiply the x² by a decimal

multiply the x² by a negative number

multiply the x² by a number greater than 1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What are the transformations?
y=(x-2)³+4

Horz shift right 2 Vert shift up 4

Horz shift left 2 Vert shift up 4

Horz shift right 2 Vert shift down 4

Horz shift left 2 Vert shift up 4

How is this function transformed from the parent function?

Translated left

Translated right

Translated down

Translated up

How is this function transformed from the parent function?

Translated left

Translated right

Translated down

Translated up

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Algebraic Transformations

35 questions

Describe the transformation of the equation below from the parent function of y = I x Iy = I x - 4 I

Describe the transformation of the equation below from the parent function of y = I x Iy = -2 I x - 3 I + 3

Describe the transformation of the equation below from the parent function of y = I x Iy = -2 I x - 3 I + 3

What causes the graph of y = x2 to open downward?

What are the transformations?y=(x-2)3+4

How is this function transformed from the parent function?

How is this function transformed from the parent function?

How is this function transformed from the parent function?

How is this function transformed from the parent function?

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Discover more resources for Mathematics

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

What causes the graph of y = x² to open downward?

What are the transformations?
y=(x-2)³+4