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.
- Use the vertex form of a quadratic function, , to determine the equation of the transformed function .
- Use the standard form to determine the equation of the transformed function .
- Describe the transformation(s) of the parent function that resulted in the functions and .