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Re: calculate vertex of a parabola


(* The function *)

F[x_] :=a*x^2+b*x+c

(* Its derivative*)

D[F[x], x]

(* The vertex: *)

Solve[D[F[x], x] == 0, x]

(* Vertex coordinates*)

{x, F[x]} /. Solve[D[F[x], x] == 0, x]



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