For a parabola defined by $y=a x^{2}+b x+c, a \neq 0,$ the coordinates $(x, y)$ of the extremum are
(A) $\left(\frac{-b}{2 a}+\frac{\sqrt{b^{2}-4 a c}}{2 a}, 0\right)$
(B) $\left(\frac{-b}{2 a}, \frac{-b^{2}+4 a c}{2 a}\right)$
(C) $\left(\frac{-b}{2 a}, \frac{-b^{2}+4 a c}{4 a}\right)$
(D) $(0, c)$
For a parabola defined by $y=a x^{2}+b x+c, a \neq 0,$ the coordinates $(x, y)$ of the extremum are
(A) $\left(\frac{-b}{2 a}+\frac{\sqrt{b^{2}-4 a c}}{2 a}, 0\right)$
(B) $\left(\frac{-b}{2 a}, \frac{-b^{2}+4 a c}{2 a}\right)$
(C) $\left(\frac{-b}{2 a}, \frac{-b^{2}+4 a c}{4 a}\right)$
(D) $(0, c)$
(C) $\left(\frac{-b}{2 a}, \frac{-b^{2}+4 a c}{4 a}\right)$