Problem 54E

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 (0, ±4) and eccentricity 2

Solution 54E

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 (0,±4) and eccentricity 2