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?

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF