Find the vertex and x intercepts of a quadratic

This video tutorial explains how to complete the square for a quadratic equation with a leading coefficient other than one. It covers the process of converting the quadratic into standard form, factoring, creating a perfect square trinomial, and solving for the vertex. The tutorial also discusses finding zeros and concludes with a note on the absence of real roots in certain cases.

What must you do to keep an equation true when completing the square?

What is the significance of the value obtained after completing the square?

Why does the graph of the quadratic not cross the X-axis in this example?