How do I convert Standard form to intercept form when dealing with quadratic equations?

Question

For example,     y = x^2 - 12x + 32

Answer 1

The standard form of a parabola looks like a quadratic equation. So I guess you want the standard form of a parabola.

Complete the square:

y=x²-12x+32 = (x²-12x+36)-36+32 = (x-6)²-4. 

y+4=(x-6)² is the standard form. The vertex of the parabola is seen to be (6,-4) from this format.