Completing the square by creating a fraction to graph a quadratic in vertex form

This video tutorial explains how to graph a quadratic equation by converting it from standard form to vertex form using the method of completing the square. It covers the process of creating a perfect square trinomial, factoring it into a binomial squared, and then graphing the resulting quadratic function. The tutorial also discusses how to determine the vertex and the direction in which the graph opens, providing a step-by-step guide to plotting the function on a graph.

What is the standard form of the quadratic equation discussed in the text?

What are the steps to convert the quadratic equation into vertex form?

Explain the process of completing the square as described in the text.

What does the vertex form of a quadratic equation tell us?

How do you determine the vertex of the quadratic function from the completed square form?

What is the significance of the value of 'A' in the quadratic equation?

Describe how to graph the quadratic function after finding the vertex.