Step by step graph and identify the foci, center, and vertices of hyperbola

The video tutorial covers the identification and plotting of hyperbolas. It begins with recognizing the components of a hyperbola, such as a^2, b^2, and c^2, and proceeds to calculate and simplify these values. The tutorial then explains how to plot the hyperbola using the center and axes, determine the positions of vertices and foci, and label them correctly. It also covers deriving asymptote equations and graphing techniques using the box method. The session concludes with a practice problem for students to apply their learning.

What is the significance of the distance from the center to the foci in a hyperbola?

What is the equation of the asymptote for the hyperbola?

How do you graph the asymptotes of a hyperbola?