Practice for Creating Center Form Equations

$\frac{\left(x\ +2\right)^2}{4}-\frac{\left(y\ +4\right)^2}{12}\ =\ 1$

$\frac{\left(x\ +2\right)^2}{4}-\frac{\left(y\ -4\right)^2}{12}\ =\ 1$

$\frac{\left(x\ +6\right)^2}{23}-\frac{\left(y\ +4\right)^2}{69}\ =\ 1$

$\frac{\left(x\ +6\right)^2}{18}-\frac{\left(y\ -4\right)^2}{36}\ =\ 1$

 $\frac{\left(x\ +2\right)^2}{54}+\frac{\left(y\ +4\right)^2}{54}\ =\ 1$ 

 $\frac{\left(x\ +2\right)^2}{27}+\frac{\left(y\ +4\right)^2}{18}\ =\ 1$ 

 $\frac{\left(x\ +4\right)^2}{79}+\frac{\left(y\ +12\right)^2}{\frac{158}{3}}\ =\ 1$ 

 $\frac{\left(x\ +4\right)^2}{27}+\frac{\left(y\ +12\right)^2}{18}\ =\ 1$ 

 $x\ =\ 3\left(y-1\right)^2+1$ 

 $x\ =\ 3\left(y-1\right)^2+2$ 

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

 $x\ =\ \left(3y-3\right)^2-4$