The process of [b][i]Completing the Square[/b][/i] 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, [math]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/math]. 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 [b]the zeroes[/b], we get the [b]axis of symmetry[/b] of the quadratic equation [b]{x = h}[/b] and the [b]vertex (h, k)[/b]. With these four quantities, it is easier to hand graph the equation (or speed graph.) Select [b]Next[/b] to expose an algebraic explanation of the Method of Completing the Square; [b]Prev[/b] to step back. [b]Reset[/b] 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.