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Example 2

The graph shows a parent quadratic function and two quadratic functions, and , 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.
  1. Use the vertex form of a quadratic function, , to determine the equation of the transformed function .
  2. Use the standard form to determine the equation of the transformed function .
  3. Describe the transformation(s) of the parent function that resulted in the functions and .
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.