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

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

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.

Which of the facts is not true about the graph shown?

The function has been shifted 6 units right.

The function has been shifted up 1 unit

The function has been vertically stretched by a factor of 2.

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

All Cube Root Functions are different.

Cubic and Cube Root Inverses Equations

Authored by Barbara White

Mathematics

11th Grade

CCSS covered

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26 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation of the graph shown?

y= (x-2)³ + 4

y= (x+2)³+ 4

y = - (x-2)³+ 4

y= - (x+2)³ + 4

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 down 4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

2 mins • 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

MULTIPLE CHOICE QUESTION

2 mins • 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

MULTIPLE CHOICE QUESTION

2 mins • 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

MULTIPLE CHOICE QUESTION

2 mins • 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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How did we transform from the parent function Y = X³?
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 = x²

Tags

CCSS.HSF.BF.B.3

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Cubic and Cube Root Inverses Equations

What is the equation of the graph shown?

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?

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

Describe the transformation of the graph
y = ½x³

Describe the transformation of the graph
y = 2x³

Which is f^-1(x)?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Cubic and Cube Root Inverses Equations

What is the equation of the graph shown?

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?

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

Describe the transformation of the graph y = ½x3

Describe the transformation of the graph y = 2x3

Which is f-1(x)?

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

Describe the transformation of the graph
y = ½x³

Describe the transformation of the graph
y = 2x³

Which is f^-1(x)?