Match each equation with its name.

$(\frac{x}{9}{)}^2-(\frac{y}{6}{)}^2-(\frac{z}{9}{)}^2=1$

$(\frac{x}{9}{)}^2-(\frac{y}{6}{)}^2=\frac{z}{9}$

$(\frac{x}{9}{)}^2-(\frac{y}{6}{)}^2+(\frac{z}{9}{)}^2=0$

$(\frac{x}{9}{)}^2+(\frac{y}{6}{)}^2=(\frac{z}{9}{)}^2$

$-(\frac{x}{9}{)}^2+(\frac{y}{9}{)}^2+(\frac{z}{9}{)}^2=1$

a$.$ cone on $z$ axis

b$.$ hyperbolic paraboloid

c$.$ cone on y axis

d$.$ sphere

e$.$ hyperboloid of two sheets