UCSS Math III 4B.2.1 Example 3

Identify the transformation(s) of the parent function [math]f(x) = \log x[/math] that result in the function [math]g(x) = 1 + 2 • \log (3x + 4)[/math]. Describe the effect of the transformation(s) on the domain and range of the function [math]g(x)[/math]. Finally, determine the [math]y[/math]-intercept(s) of [math]g(x)[/math].

[list=1] [*]Identify the transformation(s) of the parent function. [*]Compare the domain and range of the parent function to those of the transformed function [math]g(x)[/math]. [*]Calculate the [math]y[/math]-intercept of [math]g(x)[/math]. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math III[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.