Master determining the center,vertices, foci and aymptotes of a hyperbola center not at origin

This video tutorial explains how to find the center, vertices, foci, and asymptotes of a hyperbola. It covers the differences between hyperbolas, parabolas, and ellipses, focusing on the equations and graphing techniques. The tutorial provides step-by-step instructions on identifying key components like A, B, and C, and demonstrates how to graph hyperbolas, including plotting vertices and foci. It also explains how to calculate asymptotes for both vertical and horizontal transverse axes.

What is the general form of the equation for a hyperbola?

How do you determine the center of a hyperbola?

What do the variables A, B, and C represent in the context of hyperbolas?

Explain the difference between the transverse axis and the conjugate axis in a hyperbola.

How do you find the vertices of a hyperbola?

What is the significance of the foci in a hyperbola?

Describe how to find the asymptotes of a hyperbola.

What is the relationship between the values of A, B, and C in a hyperbola?

How does the orientation of a hyperbola change based on the position of A in the equation?

What are the steps to graph a hyperbola?