Cubic Graph Transformations and Characteristics

Choose ALL the ordered pairs that lie on the graph

 $f\left(x\right)=x^3$  .

•  $\left(0,\ 0\right)$  

•  $\left(-1,\ -1\right)$  

•  $\left(2,\ 8\right)$  

•  $\left(-2,\ -8\right)$  

•  $\left(1,\ 1\right)$  

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

 $f\left(x\right)=\left(x+5\right)^3-11$  from the parent graph of  $f\left(x\right)=x^3$  ?

• Left 5 and Up 11

• Right 5 and Up 11

• Left 5 and Down 11

• Right 5 and Down 11

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 are the shifts of the graph

 $f\left(x\right)=\left(x-15\right)^3+7$  from the parent graph of  $f\left(x\right)=x^3$  ?

• Left 15 and Up 7

• Right 15 and Up 7

• Left 15 and Down 7

• Right 15 and Down 7

Tags

CCSS.HSF.BF.B.3

What is the RANGE of the graph?

• $\left(-7,\ 2.817\right)$

• $\left(0,\ 2.817\right)$

• $\left(-7,\ 0\right)$

• $\left(-\infty,\ +\infty\right)$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the DOMAIN of the graph?

• $\left(-7,\ 2.817\right)$

• $\left(0,\ 2.817\right)$

• $\left(-7,\ 0\right)$

• $\left(-\infty,\ +\infty\right)$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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?

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

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

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

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7