Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they e.xist), and directrices.

A hyperbola with vertices (0, ±2) and directrices y = ±1

Solution 41RE

Step 1:

Given that

A hyperbola with vertices (0, ±2) and directrices y = ±1

Step 2:

To find

Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.