The video tutorial explains how to find the vertices, center, and foci of a hyperbola. It begins by simplifying the given equations to make them equal to one. The center is identified as the origin, and the transverse axis is determined to be horizontal. The tutorial then explains how to calculate the vertices and foci using the transverse axis and provides a method for estimating their positions on a graph.

What is the process for simplifying the fractions in the hyperbola equation?

What is the significance of the center in the context of a hyperbola?

Describe how to plot the graph of a hyperbola based on its center and vertices.

How do you determine if the transverse axis of a hyperbola is horizontal or vertical?

What are the coordinates of the vertices for the hyperbola discussed?

Explain the relationship between a^2, b^2, and c^2 in the context of hyperbolas.

How do you find the foci of a hyperbola?