Standard form: y = ax2 + bx + c Factored form: y = (ax + c) (bx + d) Vertex form: y = a (x + b)2 + c You can change a quadratic equation from one form to another depending on your requirement.

package chapter_13; import java.util.Scanner; /** * (Algebra: vertex form equations) The equation of a parabola can be expressed * in either standard form (y = ax2 + bx + c) or vertex form (y = a (x - ...

For a quadratic equation of the form \ (y = k { (x - a)^2} + b\), the following diagram shows the main properties: If k > 0, the vertex is a minimum turning point ...

Charles K. Chui, Tian-Xiao He, Bivariate $C^1$ Quadratic Finite Elements and Vertex Splines, Mathematics of Computation, Vol. 54, No. 189 (Jan., 1990), pp. 169-187 ...