Quadratic Transformations

Which equation would shift the quadratic function

 $f\left(x\right)=x^2$  up 3 units and to the right 4 units.

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

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

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

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

Which equation would shift the quadratic function

 $f\left(x\right)=x^2$  3 units left and 4 units up?

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

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

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

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

Which equation would vertically stretch the quadratic function

 $f\left(x\right)=x^2$  by a factor of 3 and shift it 4 to the right?

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

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

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

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

Which quadratic function below is not reflected down?

• $f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+4$

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

• $f\left(x\right)=-x^2-4$

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

Describe the transformation:

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

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

Describe the transformation:

 $f\left(x\right)=\frac{1}{2}x^2+4$  

• right 1/2 and up 4

• Vertical Compression of 1/2 and up 4

• Vertical Stretch of 1/2 and up 4

• Vertical Compression of 1/2 and down 4

Describe the transformation:

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

• right 3

• Reflected down, right 3

• Reflected down, up 3

• Reflected down, left 3

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

• $f\left(x\right)=-3\left(x+1\right)^2+4$

• $f\left(x\right)=-4\left(x+3\right)^2+1$

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

• $f\left(x\right)=3\left(x+1\right)^2+4$

Write an equation of a quadratic that is translated down 2 units.

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

• $f\left(x\right)=x^2-2$

• $f\left(x\right)=-x^2+2$

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

Describe the transformation:

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

• left 4, up 2

• reflected down, right 4, up 2

• reflected down, left 4, up 2

• reflected down, up 4, right 2