How did we transform from the parent function Y = X 3 ? y = -1/5(x - 1) 3 + 7

reflection across the x-axis, vertical compression, horizontal shift to the right 1, vertical shift 7 up

vertical compression, horizontal shift left 1, vertical shift up 7

reflection, horizontal shift 1 right, vertical shift 7 down

no changes were made to y = x 2

Identify the Transformations.

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Horizontal compression by ½ and right 4

What is the Domain of ALL Cube Root Functions in interval notation?

All Cube Root Functions are different.

The graph of a function is shown. What are the domain and range of this function?

Domain: (-∞, ∞) Range: (-∞, ∞)

Domain: [-7, ∞) Range: (-∞, ∞)

Domain: (-∞, ∞) Range: (-∞, 3]

Domain: [-7, ∞) Range: (-∞, 3]

Describe the transformations of the graph shown.

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left.

Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left.

Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right.

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

reflection over the x-axis, vertical stretch by a factor of 5

reflection over the x-axis, vertical compress by a factor of 5

reflection over the y-axis, vertical compress by a factor of 5

reflection over the y-axis, vertical stretch by a factor of 5

Cubic and Quartic Transformations

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

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

+1

Standards-aligned

Barbara White

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 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 down 4

Tags

CCSS.HSF.BF.B.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What transformations has the function undergone?

reflect over y, vertical compression by 2, right 5, up 1

reflect over x, vertical compression by 2, left 5, up 1

reflect over x, vertical stretch by 2, right 5, up 1

reflect over y, vertical stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of the graph y = -(x - 4)³ + 5

Up 5 and Left 4

Reflect x-axis, Left 4, Up 5

Reflect x-axis, Right 4, Up 5

Right 4 and up 5

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation below is a cubic function translated left 4 units?

y = x³ + 4

y = (x + 4)³

y = (x - 4)³

y = 4x³

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation represents a parent function y = x³ translated 4 units to the right and 1 unit up?

y = (x + 4)³ + 1

y = (x - 4)³ + 1

y = (x + 1)³ + 4

y = (x - 1)³ + 4

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

WHAT IS THE RANGE OF EVERY SINGLE CUBIC FUNCTION expressed in interval notation!?

(-∞,∞)

[0,∞)

-∞<y<∞

[-∞,∞]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

WHAT IS THE DOMAIN OF EVERY SINGLE CUBIC FUNCTION!?

(-∞,∞)

[0,∞)

(-∞,0]

[-∞,∞]

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Cubic and Quartic Transformations

20 questions

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

What transformations has the function undergone?

Describe the transformation of the graph y = -(x - 4)³ + 5

Which equation below is a cubic function translated left 4 units?

Which equation represents a parent function y = x³ translated 4 units to the right and 1 unit up?

WHAT IS THE RANGE OF EVERY SINGLE CUBIC FUNCTION expressed in interval notation!?

WHAT IS THE DOMAIN OF EVERY SINGLE CUBIC FUNCTION!?

How did we transform from the parent function Y = X³?
y = -1/5(x - 1)³ + 7

Identify the Transformations.

What kind of function is represented by the graph?

Access all questions and much more by creating a free account

Similar Resources on Wayground

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Discover more resources for Mathematics

Cubic and Quartic Transformations

20 questions

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

What transformations has the function undergone?

Describe the transformation of the graph y = -(x - 4)3 + 5

Which equation below is a cubic function translated left 4 units?

Which equation represents a parent function y = x3 translated 4 units to the right and 1 unit up?

WHAT IS THE RANGE OF EVERY SINGLE CUBIC FUNCTION expressed in interval notation!?

WHAT IS THE DOMAIN OF EVERY SINGLE CUBIC FUNCTION!?

How did we transform from the parent function Y = X3?y = -1/5(x - 1)3 + 7

Identify the Transformations.

What kind of function is represented by the graph?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

Describe the transformation of the graph y = -(x - 4)³ + 5

Which equation represents a parent function y = x³ translated 4 units to the right and 1 unit up?

How did we transform from the parent function Y = X³?
y = -1/5(x - 1)³ + 7