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Home  Limits, Analytic Geometry, and Approximations Ellipses and Hyperbolas Examples Example 3 |
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Example 3
Sketch the hyperbola 4y2 - x2 = 1 and find its foci. First compute a and b. 4y2 = y2/b2, b = ½ x2 = x2/a2, a = 1.
Figure 5.5.8 The rectangle has sides x = ±1, y = ±½, and the vertices are at (0, ±½). The hyperbola is sketched using Steps 1-4 in Figure 5.5.8. The foci are at (0, ±c) where
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Last Update: 2006-11-15