# What is the equation for 3D analog of the parabola (the paraboloid) using cartesian co-ordinates?

In 2D, the equation is:

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

What is the equation for 3D analog of parabola?

-
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