$\begin{array}{l}
\left( C \right):{\left( {x - 1} \right)^2} + {\left( {y + 2} \right)^2} = 4\\
{V_{\left( {O,3} \right)}}\left( I \right) = I'\left( {x';y'} \right),R' = 3R = 6\\
\Rightarrow \left\{ \begin{array}{l}
{x_{I'}} = 3{x_I} = 3\\
{y_{I'}} = 3{y_I} = - 6
\end{array} \right. \Rightarrow I'\left( {3; - 6} \right),R' = 6\\
{T_{\overrightarrow v }}\left( {I'} \right) = I''\\
\Rightarrow \left\{ \begin{array}{l}
{x_{I''}} = {x_{I'}} + 2 = 5\\
{y_{I''}} = {y_I} + 3 = - 3
\end{array} \right. \Rightarrow I''\left( {5; - 3} \right),R'' = R' = 6\\
\Rightarrow \left( {C''} \right):{\left( {x - 5} \right)^2} + {\left( {y - 3} \right)^2} = 36
\end{array}$
