Cubic & Cube Root Transformations

Authored by Tristian Huerta

Mathematics

10th - 12th Grade

CCSS covered

Used 343+ times

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15 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the Transformations.

Vertical stretch by 2 and down 4

Horizontal compression by ½ and down 4

Vertical stretch by 2 and up 4

Horizontal compression by ½ and right 4

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What kind of function is represented by the graph?

Cube Root Function

Cubic Function

Polynomial Function

Square Root Function

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

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

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

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

1/4 ∛(x + 9)

1/4 ∛(x - 9)

- 1/4 ∛(x + 9)

- 1/4 ∛(x - 9)

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

5 mins • 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

5 mins • 1 pt

Describe the transformation of the graph y = (x)³ + 6

Right 6

Left 6

Up 6

Down 6

Tags

CCSS.HSF.BF.B.3

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Cubic & Cube Root Transformations

Identify the Transformations.

What transformations has the function undergone?

What kind of function is represented by the graph?

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

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

Describe the transformation of the graph y = (x)³ + 6

Name the parent function.

Which of the following is the graph of y = (x – 1)³ – 7?

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

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Similar Resources on Wayground

Popular Resources on Wayground

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Cubic & Cube Root Transformations

Identify the Transformations.

What transformations has the function undergone?

What kind of function is represented by the graph?

If f(x) = x3 is changed to f(x) = - (x + 3)3 + 2, how is the graph transformed?

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

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

Describe the transformation of the graph y = (x)3 + 6

Name the parent function.

Which of the following is the graph of y = (x – 1)3 – 7?

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

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

Describe the transformation of the graph y = (x)³ + 6

Which of the following is the graph of y = (x – 1)³ – 7?