Determine the equation of a quadratic function that has a minimum at [math](–4, –8)[/math] and passes through the point [math](–2, –5)[/math].
[list=1] [*]Substitute the vertex into [math]f(x) = a(x – h)^2 + k[/math]. [*]Substitute the point [math](–2, –5)[/math] into the equation from step 1 and solve for [math]a[/math]. [*]Substitute [math]a[/math] into the equation from step 1. [/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.