Quadratic Shifts

Select the equation that:

-Opens Down
-Is more narrow than the parent function
-Has moved left 3 units
-Has moved down 4 units

•  $f\left(x\right)=-2\left(x+3\right)^2-4$  

• 
  

   $f\left(x\right)=2\left(x+3\right)+4$  

•  $f\left(x\right)=-2\left(x-3\right)^2-4$  

Select the equation that:

-Is wider than the parent function
-Has moved right 2 units
-Has moved up 3 units

•  $f\left(x\right)=\frac{1}{3}\left(x+2\right)^2-3$  
  

•  $f\left(x\right)=\frac{1}{3}\left(x-2\right)^2+3$  

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

Select the equation that:

-Has moved left 7 units
-Has moved down 11 units

•  $f\left(x\right)=\left(x+7\right)^2+11$  
  

•  $f\left(x\right)=-\left(x+7\right)^2+11$  
  

•  $f\left(x\right)=\left(x+7\right)^2-11$ 
  

Select the equation that:

-Is more narrow than the parent function
-Has moved right 1 unit

•  $f\left(x\right)=4\left(x+1\right)^2$  
  

•  $f\left(x\right)=\frac{1}{4}\left(x-1\right)^2$  
  

•  $f\left(x\right)=4\left(x-1\right)^2$  
  

Select the equation that:

-Has moved down 3 units

•  $f\left(x\right)=x^2-3$  
  

•  $f\left(x\right)=x^2+3$  

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

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

 $f\left(x\right)=-\frac{1}{4}\left(x-1\right)^2+4$  

Determine the vertex for the function.  

• (-1,4)

• (1,-4)

• (1,4)

• (-1,-4)

 $f\left(x\right)=\frac{1}{2}\left(x+5\right)^2+2$  

Determine the vertex for the function.  

• (5,-2)

• (5,2)

• (-5,-2)

• (-5,2)

 $f\left(x\right)=-2\left(x+5\right)^2-3$  

Determine the vertex for the function.  

• (5,3)

• (-5,-3)

• (-5,3)

• (5,-3)

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

Determine the vertex for the function. 

• (-2,0)

• (2,0)

• (0,2)

• (0,-2)

Which function is the widest?

• A

• B

• C