Answer
See below:
Work Step by Step
Consider the equation $y=4-{{x}^{2}}$.
Substitute $x=-3$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{\left( -3 \right)}^{2}} \\
& =4-9 \\
& =-5
\end{align}$
Substitute $x=-2$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{\left( -2 \right)}^{2}} \\
& =4-4 \\
& =0
\end{align}$
Substitute $x=-1$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{\left( -1 \right)}^{2}} \\
& =4-1 \\
& =3
\end{align}$
Substitute $x=0$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{0}^{2}} \\
& =4-0 \\
& =4
\end{align}$
Substitute $x=1$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{1}^{2}} \\
& =4-1 \\
& =3
\end{align}$
Substitute $x=2$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{2}^{2}} \\
& =4-4 \\
& =0
\end{align}$
Substitute $x=3$ and solve:
$\begin{align}
& y=4-{{x}^{2}} \\
& =4-{{3}^{2}} \\
& =4-9 \\
& =-5
\end{align}$
