10.3 Hyperbolas

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10.3 Hyperbolas
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• Hyperbola the set of all points in a plane such
  that the difference between the distances from
  two fixed points (F1 and F2) is constant.
• Transverse Axis the line containing the foci,
  the endpoints are the vertices. Length 2a
• Conjugate Axis perpendicular to transverse
  axis. Length 2b

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Standard form center (0, 0)
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graph, find center, vertices, foci and asymptotes

• 4x2 16y2 64

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write the equation of the hyperbola if vertices
are (0, 2) (0, -2) and the focus is (0, -4)
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Equations of Hyperbolas w/ center (h, k)
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Find center, vertices, foci, transverse,
conjugate, and asymptotes
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Find center, vertices, foci, transverse,
conjugate, and asymptotes

• 4x2 9y2 32x 18y 19 0

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write the equation of the hyperbola with vertex
(6, 7) and foci (3, 7) (7, 7)
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write the equation of the hyperbola with vertices
(-3,0) and (-9,0) and asymptotes at y
2x-12 and y -2x12