Answer
It's an ellipse
centre = $(0;0)$
Work Step by Step
Writing in standard form
$\frac{x^2}{2^2}+\frac{y^2}{3^2}=1$
Centre = $(0;0)$
Intercepts : $x- axis : (0;2), (0;-2)$ , $y-axis : (3;0), (-3;0)$
The graph is shown below and the centre is indicated
