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In 2D, the equation is:

$y=4a(x-x_0)^2+c$

What is the equation for 3D analog of parabola?

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Just for clarification: are you looking for the equation for the parabola as a curve in 3D, or are you looking for a 3D analogue of the parabola (for example, the paraboloid)? –  Willie Wong Jul 25 '11 at 15:17
    
@willie-wong: Thanks. I think I got my answer at link –  kritisen Jul 25 '11 at 20:25
    
@kritisen: to be clear, a parabola is a one-dimensional object in the sense that it has only length (like a string). So you were looking for the paraboloid? (I'm sorry if I'm repeating Willie, I just want to make sure you found what you were looking for). –  mixedmath Jul 25 '11 at 20:32

1 Answer 1

just as a guide for anyone who wants to know more visit

http://en.wikipedia.org/wiki/Paraboloid

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