Answer
Elliptic cone.
Work Step by Step
If we move the $z$ term to the right and rewrite the constant $2$ as a radical fraction, then the equation becomes $$ \left(\frac{x}{3}\right)^{2}-\left(\frac{y}{4 }\right)^{2} =\left(\frac{z}{1/\sqrt{2}}\right)^{2} $$ which is an elliptic cone.