Hyperbolas

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Hyperbolas

• Section 10.5

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• Definition - a hyperbola is the set of all points
  in a plane such that for each point the absolute
  value of the difference of its distances from two
  fixed points, called foci, is constant.

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General Equations

• 1.
• 2.

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Horizontal Hyperbola (x dominant)

• (x-h)2 - (y-k)2 1
• a2 b2
• C(h,k)
• V(h a, k)
• F(h c, k)

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Vertical Hyperbola (y dominant)

• (y-k)2 - (x-h)2 1
• a2 b2
• C(h,k)
• V(h, k a)
• F(h, k c)

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a2 b2 c2