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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.