A dilation by a scale factor of 2 means we have to multiply each coordinate by 2.
[tex]\begin{gathered} A(3,3)\rightarrow A^{\prime}(6,6) \\ B(3,-2)\rightarrow B^{\prime}(6,-4) \\ C(0,0)\rightarrow C^{\prime}(0,0) \end{gathered}[/tex]
Hence, the dilated vertices are (6,6), (6,-4), and (0,0).
