Hyperbolas
Hyperbolas
Example 1
Graph the following hyperbola. Find its center, vertices, foci, and the equations of its asymptote lines.
Step 1. Identify the center, vertices, foci, and the equations of asymptotes.
This is a hyperbola with center at (0, 0), and its transverse axis is along the x-axis.
Vertices: (-4, 0), (4, 0)
Foci: (?41, 0), (-?41, 0)
Equations of asymptote lines:
Foci: (?41, 0), (-?41, 0)
Equations of asymptote lines:
Step 2 . Graph the conic.