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y-k = (x-h)

^{2}/(4p)It can of course be written other ways:

y-k = a(x-h)

^{2}y = ax

^{2}+bx +cIn the latter case, you can find the vertex using h=-b/(2a) and k=c-ah

^{2}http://en.wikipedia.org/wiki/Parabola

By the way, you might want to avoid arguing with your girlfriend in 'public' : )