Identifying the transformations of a quadratic by completing the square

The video tutorial explains the process of completing the square for quadratic equations. It begins by rewriting the equation in descending order and factoring out a negative one if necessary. The instructor then demonstrates how to create a perfect square trinomial by dividing the B term by two and squaring it. Adjustments are made to the equation to maintain balance, and the trinomial is factored into a binomial squared. Finally, the video covers graphing the function, identifying the vertex, and understanding transformations such as shifts and reflections.

Describe the vertex of the function after completing the square.

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How does the negative sign outside the parentheses affect the graph of the function?

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