The process of Completing the Square provides users to develop methods of solving quadratic equations to find the roots (zeroes) and the vertex of a quadratic equation. The most memorable formula for most students is the quadratic equation, .
Converting the standard form of the quadratic equation into the vertex form allows for other useful values to assist in the graphing of quadratic equations. Besides the zeroes, we get the axis of symmetry of the quadratic equation {x = h} and the vertex (h, k). With these four quantities, it is easier to hand graph the equation (or speed graph.)
Select Next to expose an algebraic explanation of the Method of Completing the Square; Prev to step back. Reset returns you to the beginning.

This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers as a worksheet to be completed for a grade.