Quiz: Cubic Transformations

What are the shifts of the graph

 $f\left(x\right)=\left(x-2\right)^3-8$  from the parent graph of  $f\left(x\right)=x^3$  ?

• Left 2 and Up 8

• Right 2 and Up 8

• Left 2 and Down 8

• Right 2 and Down 8

Tags

CCSS.HSF.BF.B.3

What are the shifts of the graph

 $f\left(x\right)=\left(x+9\right)^3+4$  from the parent graph of  $f\left(x\right)=x^3$  ?

• Left 9 and Up 4

• Right 9 and Up 4

• Left 9 and Down 4

• Right 9 and Down 4

Tags

CCSS.HSF.BF.B.3

What is the X-INTERCEPT of the graph?

•  $\left(2.817,\ -7\right)$ 

•  $\left(2.817,\ 0\right)$ 

•  $\left(0,\ -7\right)$ 

• $\left(-\infty,\ +\infty\right)$

Tags

CCSS.HSF-IF.C.7A

What is the Y-INTERCEPT of the graph?

•  $\left(2.817,\ -7\right)$ 

•  $\left(2.817,\ 0\right)$ 

•  $\left(0,\ -7\right)$ 

• $\left(-\infty,\ +\infty\right)$

Tags

CCSS.HSF-IF.C.7E

What is the END BEHAVIOR of the graph?

•  $x\rightarrow+\infty,\ y\rightarrow+\infty$  
   $x\rightarrow-\infty,\ y\rightarrow+\infty$  
  

•  $x\rightarrow+\infty,\ y\rightarrow+\infty$ 
    $x\rightarrow-\infty,\ y\rightarrow-\infty$  

•  $x\rightarrow+\infty,\ y\rightarrow-\infty$  
   $x\rightarrow-\infty,\ y\rightarrow-\infty$  
  

•  $x\rightarrow+\infty,\ y\rightarrow-\infty$  
   $x\rightarrow-\infty,\ y\rightarrow+\infty$  
  

Which could be the resulting function?

• g(x)=1/2f(x-3)+4
• g(x)=1/2f(x+3)+4
• g(x)=2f(x-3)+4
• g(x)=2f(x+3)+4

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSF.BF.B.3

Which g(x) function results in this graph?

• f(x)=x^3

  g(x)=f(x-3)-1

• f(x)=x^3

  g(x)=f(x-1)-3

• f(x)=x^3

  g(x)= - f(x+3)-1

• f(x)=x^3

  g(x)= - f(x+1)-3

Tags

CCSS.HSF.BF.B.3

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

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