how to graph and identify the foci, asymptotes, center, vertices of a hyperbola

The video tutorial covers graphing techniques, focusing on identifying the center, calculating A, B, and C values, and determining the transverse axis. It explains plotting the graph with vertices and foci, and graphing asymptotes by creating a box. The tutorial also derives the equation of asymptotes for different centers, providing a comprehensive understanding of graphing hyperbolas and ellipses.

What is the center of the graph, and how is it determined?

What are the values of A and B in the context of the graph, and how are they derived?

Explain how to identify whether the transverse axis is horizontal or vertical.

Describe the process of plotting the vertices and foci on the graph.

How do you graph the asymptotes, and what is the significance of the box created?

What is the equation of the asymptotes when the center is at HK?

How do you convert the equation of the asymptotes into slope-intercept form?