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Show that f(x) = ax^(2) + bx + c (a ne0)...

Show that `f(x) = ax^(2) + bx + c (a ne0)` is maximum at `x = -(b)/(2a)` when `a lt 0` and minimum at `x = -(b)/(2a)` when `a gt 0`. Also find the maximum and minimum values of f(x).

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