Find the asymptotes, foci, vertices and center of a hyperbola

The video tutorial covers the identification and graphing of hyperbolas. It begins with recognizing the hyperbola and calculating the values of A^2, B^2, and C^2. The tutorial then demonstrates how to graph the hyperbola, identify the center, and determine the transverse and conjugate axes. It explains how to find the vertices and foci, sketch the asymptotes, and label all elements on the graph. Finally, it provides the equation for the hyperbola with a vertical transverse axis.

What is the relationship between A^2 and B^2 in a hyperbola?

How do you determine the center of a hyperbola given its equation?

How do you graph the hyperbola based on its vertices and asymptotes?

What are the coordinates of the vertices of the hyperbola discussed?

Explain how to find the foci of a hyperbola.

What is the equation of the asymptotes for a hyperbola with a vertical transverse axis?

What is the significance of the values A and B in the context of hyperbolas?