Identifying the vertex and axis of symmetry by completing the square

The video tutorial explains how to convert a quadratic equation into vertex form by completing the square. It begins with an introduction to symmetry and the importance of vertex form. The instructor then demonstrates rearranging the equation into standard form and creating a perfect square trinomial. The process of completing the square is detailed, leading to the final conversion into vertex form, identifying the vertex and axis of symmetry.

Why are perfect square trinomials important in the context of this lesson?

How does the axis of symmetry relate to the vertex form of the equation?