Answer
Hyperbola
Work Step by Step
We can see that x and y are on the power of two and one with a positive the other with a negative coefficient. Therefore the equation will be a hyperbola.
This given equation can be easily transformed to the standard equation of a hyperbola:
$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Here, it is: $\frac{x^2}{2^2}-\frac{y^2}{4^2}=1$