Answer
See image:
Work Step by Step
$\left[\begin{array}{ll}
\text{x-intercepts:} & \text{y-intercepts:}\\
0^{2}=-x^{2}+1 & y=0+1\\
x^{2}=1 & y=1\\
x=\pm 1 & \\
(-1,0),(1,0) & (0,1)\\
&
\end{array}\right]$
Additional points: $\left[\begin{array}{ll}
x & y\\
-2 & -3\\
2 & -3
\end{array}\right]$