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Final answer:
Completing the square is used to rewrite a quadratic function into vertex form, facilitating graphing and transformation analysis.
Explanation:
Completing the square is the process used to rewrite a quadratic function from standard form into vertex form. This method involves manipulating the quadratic equation to create a perfect square trinomial, allowing you to easily identify the vertex of the parabola.
By transforming the quadratic function into vertex form, you can graph the transformation more efficiently and accurately, showcasing the changes made to the parent function. Understanding and applying this process is crucial in mathematics when working with quadratic functions and graphing them.
Creating vertex form is essential for simplifying the quadratic function and identifying its key characteristics such as the vertex and axis of symmetry.
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