Create the equation of a quadratic function given a vertex of [math](2, –4)[/math] and a [math]y[/math]-intercept of [math]4[/math].
[list=1] [*]Write an equation for [math]b[/math] in terms of [math]a[/math]. [*]Substitute the expression for [math]b[/math] from step 1, the coordinates of the vertex, and the [math]y[/math]-intercept into the standard form of a quadratic equation. [*]Substitute the value of [math]a[/math] into the equation for [math]b[/math] from step 1. [*]Substitute [math]a[/math], [math]b[/math], and [math]c[/math] into the standard form of a quadratic equation. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.