Writing equations of transformations

(1,0)

(5,0)

(3,4)

(0,-4)

x=4

y=3

x=3

y=4

$f\left(x\right)=2\left(x-0\right)^2+0$

$f\left(x\right)=\left(x-0\right)^2+2$

 $f\left(x\right)=1\left(x-0\right)^2+0$ 

 $f\left(x\right)=\left(x-0\right)^2-1$ 

 $f\left(x\right)=-1\left(x-0\right)^2+0$  

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

 $f\left(x\right)=\left(x-0\right)^2-1$ 

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

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

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

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

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

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

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

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

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

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