How to graph a hyperbola with asymptotes and center at origin

The video tutorial explains how to identify and graph hyperbolas. It begins by distinguishing hyperbolas from ellipses, focusing on the center and the differences in equations. The tutorial then covers calculating the foci and vertices using the formula a^2 + b^2 = c^2. It proceeds to sketch the graph, determine the transverse axis, and find the co-vertices and asymptotes. The video concludes with graphing techniques and tips, emphasizing the use of co-vertices to aid in graphing asymptotes.

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

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

What is the relationship between a^2, b^2, and c^2 in a hyperbola?

What is the significance of the transverse axis in the graph of a hyperbola?

Explain how to find the vertices of a hyperbola given its center and the value of a.

How do you calculate the foci of a hyperbola?

Describe the process of finding the asymptotes of a hyperbola.