Applications for Completing the Square

This video tutorial covers the method of completing the square to convert quadratic functions from standard form to vertex form. It explains the benefits of this method, such as easily finding the vertex, roots, and graphing the parabola. The tutorial includes examples where the coefficient A is one and not one, and provides a student exercise. It concludes with a real-world application involving the dimensions of a wading pool.

How do you determine the roots of a quadratic function using completing the square?

What common mistakes do students make when applying the method of completing the square?

What is the minimum or maximum value of a quadratic function, and how is it related to the vertex?

In the context of a real-world problem, how can completing the square be applied to find dimensions?