I need to make two trace plots of the hyperbolic paraboloid $z=x^2-y^2$.
In the first plot, we set $z$ equal to a constant $k$, $z=k$. How do I find the parametric equation for this representation of $k = x^2-y^2$?
In the second plot, we set $x$ equal to a constant $k$, so $x=k$. How do I find the parametric equation for the equation $k = \sqrt{z+y^2}$?