\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The figure \(\textcolor{colorprop}{A'}\) is the image of figure \(\textcolor{colordef}{A}\) under a homothety with center \(O\) and scale factor \(k=3\).
Find the coordinates of the center \(O\).
\(O(\)
\(,\)
\()\)