Write the equation of a hyperbola given vertices and length of conjugate axis

The video tutorial covers the process of analyzing a hyperbola by identifying its vertices, transverse axis, and center. It explains how to determine the transverse axis's orientation and calculate the center as the midpoint of the vertices. The tutorial also discusses the conjugate axis and how to calculate the value of B, leading to the formulation of the hyperbola's equation. The session emphasizes the importance of understanding these components to correctly graph and solve hyperbolas.

What does the conjugate axis represent in a hyperbola, and how is it related to the vertices?

Describe the process of writing the equation of a hyperbola based on its transverse axis and vertices.