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| the set of all points P such that the difference of the distances between P and two fixed points, called foci, is constant |
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| points on the hyperboal intersected by the line through the foci |
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| transverse axis (hyperbola) |
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| midpoint of the transverse axis |
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| standard equation of a hyperboal with center at the origin: |
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x2/a2-y2/b2=1
y2/a2-x2/b2=1 |
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| figures formed when a plane intersects a double-napped cone, like parabolas, circles, ellipses, and hyperbolas |
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| general second-degree equation of conics |
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| b2-4ac can be used to determine the type of conic |
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| b2-4ac<0 and either b=/0 or a=/c |
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| systems that include one or more equations of conics |
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(y-k)2=4p(x-h)
(x-h)2=4p(y-k) |
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(x-h)2/a2+(y-k)2/b2=1
(x-h)2/b2+(y-k)2/a2=1 |
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(x-h)2/a2-(y-k)2/b2=1
(y-k)2/a2-(x-h)2/b2=1 |
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