Quiz about Cubic Graph Transformations and Characteristics

Question 1

Name the parent function.

Accepted Answer

cubic

Answer

cube root

Answer

exponential

Answer

quadratic

Question 2

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

Accepted Answer

Vertical shift up 6

Answer

Horizontal shift right 6

Answer

Horizontal shift left 6

Answer

Vertical shift down 6

Question 3

What transformations has the function undergone?

Accepted Answer

reflect over the x-axis, vertical stretch by 2, horizontal shift right 5, vertical shift up 1

Answer

reflect over the y-axis, vertical compression by a factor of 2, vertical down right 5, horizontal shift right 1

Answer

reflect over the x-axis, horizontal compression by a factor of 2, left 5, up 1

Answer

reflect over the y-axis, horizontal stretch by a factor of -2, horizontal shift right 5, and vertical shift up 1

Question 4

What are the transformations?

y=(x-2)³+4

Accepted Answer

Horizontal shift right 2. Vertical shift up 4

Answer

Horizontal shift left 2. Vertical shift down 4

Answer

Horizontal shift right 2. Vertical shift down 4

Answer

Horizontal shift left 2. Vertical shift up 4

Question 5

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

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

Accepted Answer

Horizontal compression by 1/2

Answer

Vertical compression by 1/2

Answer

Vertical stretch by 2

Answer

Horizontal stretch by 2

Question 7

Describe the transformation of the graph
y = 2x³

Accepted Answer

Vertical stretch by 2

Answer

Vertical compression by 1/2

Answer

Horizontal compression by 1/2

Answer

Horizontal stretch by 2

Question 8

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

Accepted Answer

Reflect x-axis, Right 4, Up 5

Answer

Up 5 and Left 4

Answer

Reflect x-axis, Left 4, Up 5

Answer

Right 4 and up 5

Question 9

Describe the transformation of the graph
y = (x - 1)³ + 5

Accepted Answer

Right 1 and up 5

Answer

Up 5 and Left 1

Answer

Reflect x-axis, Left 1, Up 5

Answer

Reflect x-axis, Right 1, Up 5

Question 10

Describe the transformation of the graph
y = (x - 1)³ + 7

Accepted Answer

Up 7 and Right 1

Answer

Reflect x-axis, Right 1, Up 7

Answer

Reflect x-axis, Right 1, down 7

Answer

Right 1 and down 7

Question 11

Write a cubic functions with the following transformations.
-Up 2
-Left 5

Accepted Answer

y = (x + 5)³ + 2

Answer

y = (x - 5)³ - 2

Answer

y = (x - 5)³ + 2

Answer

y = (x + 5)³ - 2

Question 12

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)?

Accepted Answer

D. g(x) = (x - 1)³

Answer

A. g(x) = -x³

Answer

B. g(x) = x³ - 1

Answer

C. g(x) = (x + 1)³

Question 13

Write the equation of the following cubic function.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 14

Write the equation of the following cubic function.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

Write the equation of the following cubic function.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Cubic Graph Transformations and Characteristics

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