$\begin{array}{l}
{V_{\left( {O,k = - 2} \right)}}\left( A \right) = A'\left( {x';y'} \right)\\
\Leftrightarrow \left\{ \begin{array}{l}
x' - 0 = - 2\left( {1 - 0} \right)\\
y' - 0 = - 2\left( { - 3 - 0} \right)
\end{array} \right.\\
\Rightarrow \left\{ \begin{array}{l}
x' = - 2\\
y' = 6
\end{array} \right.\\
\Rightarrow A'\left( { - 2;6} \right)
\end{array}$