Which piecewise function below matches the attached graph?

\[\text {a)} \ \ \ \ f(x) = \left\{
\begin{array}{ll}
&2 & if \ \ x\leq -2\\
&x^{2}& if \ \ x>-2 \\
\end{array}
\right.\]
\[\text {b)} \ \ \ \ f(x) = \left\{
\begin{array}{ll}
&2 &if \ \ x< -2\\
&x^{2}& if \ \ x\geq-2 \\
\end{array}
\right.\]
\[\text {c)} \ \ \ \ f(x) = \left\{
\begin{array}{ll}
&2 &if \ \ x\leq -2\\
&x^{2}& if \ \ x\leq-2 \\
\end{array}
\right.\]
\[\text {d)} \ \ \ \ f(x) = \left\{
\begin{array}{ll}
&2 &if \ \ x\leq -2\\
&x^{2}& if \ \ x\geq-2 \\
\end{array}
\right.\]