Transformations of Quadratic and Absolute Value Functions

Name the parent function family.

 $y=\left|x-2\right|+7$  

• Smith

• Constant
  

• Identity
  

• Absolute Value
  

• Quadratic

Name the parent function family.

 $f\left(x\right)=\left(x-1\right)^2+3$  

• Jones

• Constant
  

• Identity
  

• Absolute Value
  

• Quadratic

Identify the transformation 

(select all that apply).

 $y=x^2-5$  

• Left 5

• Right 5

• Up 5

• Down 5

Identify the transformation 

(select all that apply).

 $f\left(x\right)=\left|x+3\right|-2$  

• Left 3

• Right 3

• Up 2

• Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Identify the transformation 

(select all that apply).

 $f\left(x\right)=-\left|x+2\right|+3$  

• Left 2

• Right 2

• Up 3

• Reflect over y-axis

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

Identify the transformation 

(select all that apply).

 $y=\left(-x-6\right)^2-3$  

• Left 6

• Right 6

• Down 3

• Reflect over y-axis

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Identify the vertex of the function.

 $y=\left(x+1\right)^2+2$   

• (1,2)

• (2,1)

• (-1,2)

• (-1,-2)

Identify the domain of the function.

 $y=\left|x-2\right|+3$   

•  $\left(\infty,-\infty\right)$  
  

•  $\left(-\infty,\infty\right)$  
  

•  $\left[3,\infty\right)$  
  

•  $\left[2,\infty\right)$  
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Identify the range of the function.

 $y=-\left(x+4\right)^2-3$   

•  $\left(-\infty,\infty\right)$ 
  

•  $\left[-4,\infty\right)$  
  

•  $\left(-\infty,-4\right]$  
  

•  $\left[-3,\infty\right)$  
  

•  $\left(-\infty,-3\right]$  

Identify the equation of the graph.

• $f\left(x\right)=\left(x+4\right)^2+2$
  

• $f\left(x\right)=\left(x-4\right)^2+2$
  

• $f\left(x\right)=\left|x+4\right|+2$

• $f\left(x\right)=\left|x-4\right|+2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11