\[f(x) = 3x^{2} - 12x + 2\]
\[x_{0} = - \frac{b}{2a} = - \frac{- 12}{6} = 2;\]
\[y_{0} = 3 \cdot 2^{2} - 12 \cdot 2 + 2 =\]
\[= 12 - 24 + 2 = - 10\]
\[Ответ:(2;\ - 10).\]