Intro to Cubic Functions

What is the name of this parent function?

• Quadratic Function

• Linear Function

• Cubic Function

• Square Root Function 

Name the parent function.

• cubic

• cube root

• exponential

• quadratic

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)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

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

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

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which is the graph of the parent function of a cubic function?

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Which equation below is a cubic function translated left 4 units?

• y = x³ + 4

• y = (x + 4)³

• y = (x - 4)³

• y = 4x³

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

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

• y = (x + 5)³ + 2

• y = (x - 5)³ - 2

• y = (x - 5)³ + 2

• y = (x + 5)³ - 2

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

• Left 4 and Down 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