Quadratic Transformations

(-4,3)

(4,3)

(-4,-3)

(4,-3)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

right 3, down 2

up 3, left 2

left 3, up 2

left 3, down 2

right 3

Reflected down, right 3

Reflected down, up 3

Reflected down, left 3

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

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

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

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

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

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

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

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

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

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

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

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