Chapter 13 - Section 13.2 - The Ellipse and the Hyperbola - Exercise Set - Page 939: 35

35. It's an ellipse centre= $(0;0)$

Writing in standard form $\frac{x^2}{2^2}+\frac{y^2}{3^2}=1$ foci : $c^2=b^2-a^2$, $c^2=5$, $(0;\sqrt 5), (0;-\sqrt 5)$ centre= $(0;0)$ The graph is as below and the centre is shown