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Hyperbolas

Example 2

Graph the following hyperbola. Find its center, vertices, foci, and the equations of its asymptote lines.
HyperbolasEx2-1
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 y-axis.

HyperbolasEx2-2

Vertices: (0, 2), (0, -2)

Foci: (0, ?13), (0, -?13)

Equations of asymptote lines: HyperbolasEx2-3

Step 2 . Graph the conic.
HyperbolasEx2-4