Chapter 13 - Section 13.2 - The Ellipse and the Hyperbola - Exercise Set - Page 939: 39

It's a hyperbola

Writing in standard form $\frac{x^2}{2^2}−\frac{y^2} {3^2}=1$ Intercepts : $y=0$, $x^2=4$, $(2;0)$, $(-2;0)$ Asymptotes: $y=+/−(\frac{b}{a})x,$ $y=1.5x$ and $y=−1.5x$ The graph is as below and the $x-intercepts$ are shown