Problem 53E

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work.

A hyperbola with vertices (±1, 0) and eccentricity 3

Solution 53E

Step 1:

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work.

A hyperbola with vertices (±1, 0) and eccentricity 3