What transformations has the function undergone?

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

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

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

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

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

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

Vertical stretch by 2, Reflected over x-axis, Left 5

Vertical compression by 2, Reflected over y-axis, Right 5

Vertical stretch by 2, Reflected over x-axis, Right 5

Vertical compression by 2, reflected over y-axis, Left 5

Cubic functions

Authored by Jure Mejia

Mathematics

10th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the graph of $y=\left(x-2\right)^3-4$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the graph of $y=-\left(x-4\right)^3+2$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the equation for the cubic function graphed above

$y=\left(x+4\right)^3+3$

$y=\left(x+4\right)^3-3$

$y=\left(x-4\right)^3+3$

$y=\left(x-4\right)^3-3$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Left 4 and Down 1

Reflected x-axis, Down 1, Left 4, Compression by a factor of 1/2

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

Reflected x-axis, Up 1, Right 4, Compression by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of $y=x^3$ is graphed in blue. Which of the following equations could be equation of the function graphed in red?

$y=-5\left(x+2\right)^3-1$

$y=5\left(x+2\right)^3-1$

$y=-\frac{1}{5}\left(x+2\right)^3-1$

$y=\frac{1}{5}\left(x+2\right)^3-1$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(−∞,∞)

−∞<y<∞

(−∞,0]

All Cube Root Functions are different.

Tags

CCSS.HSF-IF.C.7B

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Cubic functions

Which of the following is the graph of $y=\left(x-2\right)^3-4$

Which of the following is the graph of $y=-\left(x-4\right)^3+2$

Which of the following is the equation for the cubic function graphed above

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

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

The graph of $y=x^3$ is graphed in blue. Which of the following equations could be equation of the function graphed in red?

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

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

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

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

Access all questions and much more by creating a free account

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Cubic functions

Which of the following is the graph of y=(x−2)3−4y=\left(x-2\right)^3-4y=(x−2)3−4

Which of the following is the graph of y=−(x−4)3+2y=-\left(x-4\right)^3+2y=−(x−4)3+2

Which of the following is the equation for the cubic function graphed above

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

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

The graph of y=x3y=x^3y=x3 is graphed in blue. Which of the following equations could be equation of the function graphed in red?

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

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

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

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which of the following is the graph of $y=\left(x-2\right)^3-4$

Which of the following is the graph of $y=-\left(x-4\right)^3+2$

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

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

The graph of $y=x^3$ is graphed in blue. Which of the following equations could be equation of the function graphed in red?

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

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