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**Finding Function for Set of Data????**

Anyone know how to find a function for a set of data (x and y table).... that make up a quadratic function (sort of like a part of a parabola)

I know I can do it in the calculator with QuadReg, but I woudl really appricaite it if someone could please walk me through the way in which you would do it algebraically.

Like if I had a sample set of data... how would I find the values for a, b and c in:

y= ax^2 + bx + c

I'm assuming that is the general formula typically used.