Consider the function [math]f(x) = x^2 – 81[/math], its graph, and the constant [math]k = 3[/math]. What is [math]f(k \bullet x)[/math]? How do the vertices and the zeros of [math]f(x)[/math] and [math]f(k \bullet x)[/math] compare?
[list=1] [*]Substitute the value of [math]k[/math] into the function. [*]Use the zeros and the vertex of [math]f(x)[/math] to graph the function. [*]Using the zeros and the vertex of the transformed function, graph the new function on the same coordinate plane. [*]Compare the graphs. [/list] This applet is provided by Walch Education as supplemental material for the [i]CCGPS Analytic Geometry[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.