Answer
No $x$-intercepts
$y$ intercepts: $\pm 3$
Work Step by Step
We are given the equation:
$y^2=9+4x^2$
Determine the $x$-intercepts:
$y=0$
$9+4x^2=0$
$4x^2=-9$
There are no $x$-intercepts!
Determine the $y$-intercepts:
$x=0$
$y^2=9+4(0^2)$
$y^2=9$
$y=\pm 3$
