The hyperbola equation is

Rewrite the equation as :

Compare the above equation with .

.

Center (h, k) = .

Vertices are :

                          (Substitute )

Foci are :

Asymptotes of a Hyperbola formula:

             (Substitute : )

                    (Simplify)

The asymptotes of the hyperbola are .

Graph of hyperbola:

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• Draw the coordinate plane.
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• Plot the center of hyperbola .
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• To graph the hyperbola go 5 units up and down from center point and 12 units left and right from center point.
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• Use these points to draw a rectangle .
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• Draw diagonal lines through the center and the corner of the rectangle. These are asymptotes.
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• The graph approaches the asymptotes but never actually touches them.
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• Draw the curves, beginning at each vertex separately, that hug the asymptotes the farther away from the vertices the curve gets.
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• Plot the vertices and foci of hyperbola.
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The center of the hyperbola is , vertices are , foci are , asymptotes of the hyperbola are , and the graph is shown below :