Answer
Hyperbolic Paraboloid
Work Step by Step
We can rewrite the equation as:
$y=z^{2}-x^{2}$
$ \implies \dfrac{y}{1}=\dfrac{z^{2}}{1}-\dfrac{x^{2}}{1^1}$
So, we find that we have:
Hyperbolic Paraboloid
$ \dfrac{z}{c}=\dfrac{x^{2}}{a^{2}}-\dfrac{y^{2}}{b^{2}}$
When $z=k$, traces are parabolas opening in the $-y$ direction.
Traces are parabolas when $x=k$, opening in the $+y$ direction.
