Answer
See image
Work Step by Step
$\left[\begin{array}{ll}
\text{x-intercepts:} & \text{y-intercepts:}\\
0^{2}=-x^{2}+4 & y=0+4\\
x^{2}=4 & y=4\\
x=\pm 2 & \\
(-2,0),(2,0) & (0,4)\\
&
\end{array}\right]$
Additional points: $\left[\begin{array}{ll}
x & y\\
-3 & -5\\
5 & -5
\end{array}\right]$