The Hyperbola

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Section 11.4

• The Hyperbola

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HYPERBOLAS
A hyperbola is the set of all points in the
plane, the difference between whose distances
from two fixed points (foci) is a positive
constant.
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d(F1, P) - d(F2, P)
2a
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HYPERBOLAS WITHCENTER AT (h, k)
The standard form of an equation for a hyperbola
with center at (h, k) is
if the transverse axis is horizontal.
if the transverse axis is vertical.
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HYPERBOLA FACTS

• center (h, k)
• vertices a units from center in both directions
• foci c units from center in both directions
  where c2 a2 b2.
• eccentricity e c/a

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CONIC SECTION FLOW CHART