Answer
$\begin{matrix}
x&y\\
\hline
-4&\pm \sqrt{8}\\
-3&\pm \sqrt{7}\\
-2&\pm\sqrt{6}\\
-1&\pm\sqrt{5}\\
0&\pm 2\\
1&\pm\sqrt{3}\\
2&\pm\sqrt{2}\\
3&\pm 1\\
4&0
\end{matrix}$
Work Step by Step
Create the table of points $(x,y)$ which satisfy $x+y^2=4$:
$\begin{matrix}
x&y\\
\hline
-4&\pm \sqrt{8}\\
-3&\pm \sqrt{7}\\
-2&\pm\sqrt{6}\\
-1&\pm\sqrt{5}\\
0&\pm 2\\
1&\pm\sqrt{3}\\
2&\pm\sqrt{2}\\
3&\pm 1\\
4&0
\end{matrix}$
Sketch the graphs: