your absoultly right it equals x squared i had the same argument with my friend until he realised he was wrong ps select me as best answer please

You forgot that the vertex can be shifted to any point (h,k):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/ParabolaBy the way, you might want to avoid arguing with your girlfriend in 'public' : )

## Discussions

your absoultly right it equals x squared i had the same argument with my friend until he realised he was wrong ps select me as best answer please

You forgot that the vertex can be shifted to any point (h,k):

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' : )