Answer
It's a hyperbola.
the $y-intercepts$ are $(0;3)$ and $(0;-3)$
Work Step by Step
Writing in standard form
$\frac{y^2}{9}-\frac{x^2}{9}=1$
Intercepts : $x=0$,
$y^2=16$,
$(0;3), (0;-3)$
Asymptotes:
$y=+/−(\frac{b}{a})x$,
$y=x$ and $y=−x$
The graph is as below and the $y−intercepts$ are shown
