Mixed Review: Absolute Value, Quadratic, and Cubic Functions

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift down 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

Tags

CCSS.HSF.BF.B.3

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

• (1, 0)
• (0, 2)
• (-1, 0)
• (2, 0)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What kind of function is represented by the graph?

• Cubic Root Function
• Cubic Function
• Polynomial Function
• Square Root Function

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)?

• A.  g(x) = -x³
• B.  g(x) = x³ - 1
• C.  g(x) = (x + 1)³
• D.  g(x) = (x - 1)³

Tags

CCSS.HSF.BF.B.3

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

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• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following is the graph of  $y=\left(x+5\right)^3-1$  

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• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Which of these represents a CUBIC function?

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• 
• 
• 

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

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of this function?

• f(x) = (x + 2)³
• f(x) = (x - 2)³
• f(x) = ∛(x + 2)
• f(x) = ∛(x - 2)

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7