How to write a hyperbola in vertex form and determine the center, vertices and foci

The video tutorial covers the process of solving equations by grouping terms, completing the square, and rewriting equations. It highlights common mistakes students make and explains how to identify the type of graph, its orientation, and center. The tutorial focuses on hyperbolas, detailing how to find vertices and foci, and emphasizes the importance of understanding the horizontal transverse axis.

What is the first step in completing the square for a quadratic equation?

Explain how to create perfect square trinomials from a quadratic expression.

What common mistakes do students make when completing the square?

What is the significance of the coefficients in the equation of a hyperbola?

How do you determine the center of a hyperbola from its equation?

What is the difference between a horizontal and vertical transverse axis in hyperbolas?

Describe the process of finding the vertices and foci of a hyperbola.