UCSS Math III 4B.2.1 Example 2
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The graph shows a parent quadratic function [math]f(x) = x^{2}[/math] and two quadratic functions, [math]g(x)[/math] and [math]h(x)[/math], derived from it. Use the maximum or minimum point of the quadratic functions to derive their equations, and write the functions in a form that indicates the transformation(s) of the parent function. Then, describe what transformation(s) the parent function underwent to result in each transformed function. |
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[list=1] [*]Use the vertex form of a quadratic function, [math]f(x) = a(x – h)^{2} + k[/math], to determine the equation of the transformed function [math]g(x)[/math]. [*]Use the standard form [math]y = a(x – h)^{2} + k[/math] to determine the equation of the transformed function [math]h(x)[/math]. [*]Describe the transformation(s) of the parent function that resulted in the functions [math]g(x)[/math] and [math]h(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. |