Regents Exam: Algebra I August 2016 (Problem 21 of 37)

The video tutorial explains how to convert a quadratic function into its vertex form. It begins by introducing the quadratic function and the problem of finding an equivalent expression. Two methods are discussed: expanding and simplifying options or rewriting the function by completing the square. The process of completing the square involves grouping terms, factoring, and introducing constants to form a perfect square trinomial. The tutorial concludes by finalizing the vertex form and identifying the correct option that matches the original function.

How do you maintain balance or equality when introducing the constant into the expression?

What is the final vertex form of the quadratic function as stated in the text?