Answer
See below:
Work Step by Step
Consider the provided function,
$y={{x}^{2}}-3$
Now, choose the values for $x$ and compute the value for $y={{x}^{2}}-3$, in order to form the ordered pairs to plot on the graph.
So, put $x=-3$ in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y={{\left( -3 \right)}^{2}}-3 \\
& =6
\end{align}$
Put $x=-2$ in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y={{\left( -2 \right)}^{2}}-3 \\
& =1
\end{align}$
Put $x=-1$ in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y={{\left( -1 \right)}^{2}}-3 \\
& =-2
\end{align}$
Now, put $x=0$ in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y=0-3 \\
& =-3
\end{align}$
Now, put $x=1$ in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y={{\left( 1 \right)}^{2}}-3 \\
& =-2
\end{align}$
Put $x=2$ i in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y={{\left( 2 \right)}^{2}}-3 \\
& =1
\end{align}$
Put $x=3$ in the provided equation $y={{x}^{2}}-3$,
$\begin{align}
& y={{\left( 3 \right)}^{2}}-3 \\
& =6
\end{align}$
