how to sketch the graph of a hyperbola in conic sections

The video tutorial explains how to rewrite a hyperbola equation in conic section form, identify key parameters (a, b, c), and determine the center of the hyperbola. It covers finding the transverse axis, vertices, and foci, and provides tips for estimating square roots. The tutorial concludes with instructions on graphing asymptotes and sketching the hyperbola.

What is the conic section form of the hyperbola discussed in the text?

How do you determine the values of a, b, and c for the hyperbola?

What is the center of the hyperbola and how is it determined?

Explain the significance of the transverse axis in the context of the hyperbola.

How are the vertices of the hyperbola calculated?

What is the equation of the asymptotes for the hyperbola?

Describe the process of graphing the hyperbola as mentioned in the text.