#### Answer

There are two $x$-intercepts: $-2$ and $2$.
The y-intercept is $4$.
See the graph below.

#### Work Step by Step

In order to find the $x$-intercept, we have to plug $y=0$ into the equation, and the $x$-coordinate will give us the intercept itself.
$y=-x^2+4$
$0=-x^2+4$
$x^2=4$
$x=\pm2$
The same thing should be done for the $y$-intercept, however, here $x=0$ should be plugged into the equation.
$y=-x^2+4$
$y=-0^2+4$
$y=4$
There are two $x$-intercepts: $-2$ and $2$.
The $y$-intercept is $4$
Few other points that will help us plot the graph:
If $x=1$
$y=-1^2+4=3$
The point $(1,3)$ is on the graph.
If $x=-1$
$y=-(-1)^2+4=3$
The point $(-1,3)$ is on the graph.
If $x=3$
$y=-3^2+4=-5$
The point $(3,-5)$ is on the graph.