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?

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

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

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