UCSS Math II 2.4.2 Example 3

Which of the following quadratic functions has a vertex with a larger [math]y[/math]-value: [math]f(x) = 2x^2 – 12x + 25[/math], or [math]g(x)[/math] as presented in the table? [math]\ \ \ \ \ \ \ x \ \ \ \ \ -4 \ \ \ \ \ -3 \ \ \ \ \ -2 \ \ \ \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ \ \ 2[/math] [math]\ \ \ \ \ \ \ g(x) \ \ \ \ \ 7 \ \ \ \ \ \ \ \ \ \ 8 \ \ \ \ \ \ \ \ \ \ 7 \ \ \ \ \ -1 \ \ \ \ -17[/math]

[list=1] [*]Verify for each function whether the vertex is a minimum or maximum. [*]Find the vertex for each function. [*]Determine which vertex has a larger [math]y[/math]-value. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math II[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.