calculate vertex of a parabola

*To*: mathgroup at smc.vnet.net*Subject*: [mg112663] calculate vertex of a parabola*From*: Momo K <momok1994 at googlemail.com>*Date*: Sat, 25 Sep 2010 02:20:36 -0400 (EDT)

Hello, please excuse me for my language but I am German. What I wanna do is to calculate the vertex of a parabola or its mathematic equoation of its vertex. E. g. if I have a equation of the form "a*x^2 + b*x + c = f(x)", I want an output like the following: "a*(x-g)+h = f(x)" I already tried with the command factor, but I didn'T found any possibility to transform the equoation from above into the last one. Thank you Momo PS: I am really surprised; I thought, that this would be the first or second hit in documentation of Mathematica, but even with Google, I didn't found anything.