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