Graphing Hyperbolas An equation of a hyperbola is given. (a) Find the vertices, foci, and asymptotes of the hyperbola. (b) Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
The vertex, foci, and asymptotes on the hyperbola.
The equation of the hyperbola:
If the hyperbola equation is then the vertices, foci and asymptotes can be calculated as follows:
Foci: and , where
Compare the following two equation:
The obtained value of is and is , so vertices are and .
The value of is given by:
The length of transverse axis,
The graph of the hyperbola .
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started