Describe the transformation of the graph y = - ½(x + 4) 3 - 1

Reflected x-axis, Down 1, Left 4, Shrink by 1/2

Reflected x-axis, Down 1, Left 4, Stretch by 1/2

Reflected x-axis, Up 1, Right 4, Shrink by 1/2

Identify the Transformations.

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Horizontal compression by ½ and right 4

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

Domain: (-∞, ∞) Range: (-∞, ∞)

Domain: (-∞, ∞) Range: (-∞, 2]

Domain: [2, ∞) Range: (-∞, ∞)

Domain: (-∞, 2] Range: [2, ∞)

If f(x) = x 3 is changed to f(x) = - (x + 3) 3 + 2, how is the graph transformed?

3 units left, 2 units up, reflected across the x-axis

3 units right, 2 units up, reflected across the y-axis

3 units right, 2 units up, reflected across the x-axis

3 units left, 2 units up, reflected across the y-axis

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

All Cube Root Functions are different.

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 is the Range of ALL Cube Root Functions in interval notation?

All Cube Root Functions are different.

Graph Cubic and Quartic Functions

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Mathematics

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9th - 11th Grade

•

Practice Problem

•

Hard

•

CCSS

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

Standards-aligned

Barbara White

FREE Resource

20 questions

Show all answers

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 down 4

Horz shift right 2 Vert shift down 4

Horz shift left 2 Vert shift up 4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of the graph y = -2(x + 5)³

Shrink by 2, Reflected over y-axis, Right 5

Stretch by 2, Reflected over x-axis, Left 5

Stretch by 2, Reflected over x-axis, Right 5

Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of the graph
y = ½x³

Vertical compression by 1/2

Horizontal compression by 1/2

Vertical stretch by 2

Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformation of the graph y = -2(x + 5)³

Shrink by 2, Reflected over y-axis, Right 5

Stretch by 2, Reflected over x-axis, Left 5

Stretch by 2, Reflected over x-axis, Right 5

Shrink by 2, reflected over y-axis, Left 5

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

A. g(x) = -x³

B. g(x) = x³ - 1

C. g(x) = (x + 1)³

D. g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the y-intercept of the following cubic function?

(1, 0)

(0, 2)

(-1, 0)

(2, 0)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What transformations has the function undergone?

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

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

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

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

Tags

CCSS.HSF.BF.B.3

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Graph Cubic and Quartic Functions

20 questions

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

Describe the transformation of the graph y = -2(x + 5)³

Describe the transformation of the graph
y = ½x³

Describe the transformation of the graph y = -2(x + 5)³

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

What is the y-intercept of the following cubic function?

What transformations has the function undergone?

Describe the transformation of the graph y = - ½(x + 4)³ - 1

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

Graph Cubic and Quartic Functions

20 questions

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

Describe the transformation of the graph y = -2(x + 5)3

Describe the transformation of the graph y = ½x3

Describe the transformation of the graph y = -2(x + 5)3

The graph shows the function f(x)=x3 in blue and another function g(x) in red. Which could be the equation for g(x)?

What is the y-intercept of the following cubic function?

What transformations has the function undergone?

Describe the transformation of the graph y = - ½(x + 4)3 - 1

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 = -2(x + 5)³

Describe the transformation of the graph
y = ½x³

Describe the transformation of the graph y = -2(x + 5)³

The graph shows the function f(x)=x³ in blue and another function g(x) in red. Which could be the equation for g(x)?

Describe the transformation of the graph y = - ½(x + 4)³ - 1