Transforming Parabolas

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

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

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

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

(-2,5)

(2,5)

(5,-2)

(-5,-2)

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

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

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

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

 $y=\left(x-2\right)^2+2$  

 $y=\left(x+2\right)^2+3$  

 $y=\left(x-3\right)^2+2$  

 $y=\left(x+2\right)^2-2$  

 $y=2\left(x+2\right)^2+11$  

 $y=-2\left(x-2\right)^2-11$  

 $y=-2\left(x-11\right)^2+2$  

 $y=-2\left(x-2\right)^2+11$  

$f\left(x\right)=\left(x-9\right)^2$

$f\left(x\right)=\left(x+9\right)^2$

$f\left(x\right)=x^2+9$

$f\left(x\right)=x^2-9$