\[\boxed{\mathbf{572\ (572).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[x_{0} = - \frac{b}{2a};\ \ \ \ \ b = - x_{0} \cdot 2a;\ \ \]
\[\text{\ \ A\ }(3;2).\]
\[y = 4x^{2} + bx + c;\ \ \ \ a = 4\]
\[b = - 3 \cdot 2 \cdot 4 = - 24\]
\[c = y - 4x^{2} - bx = 2 - 4 \cdot 9 +\]
\[+ 24 \cdot 3 = 38\]
\[Ответ:b = - 24;\ \ \ c = 38.\]