7-3 Hyperbolas

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Last updated 7:53 PM on 12/6/22
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14 Terms

1
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Standard Form (Horizontal)
(x-h)^2 / a^2 - (y-k)^2 / b^2 = 1
2
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Standard Form (Vertical)
(y-k)^2 / a^2 - (x-h)^2 / b^2 = 1
3
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Center
(h, k)
4
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Vertices (Horizontal)
(h±a, k)
5
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Foci (Horizontal)
h±c, k
6
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Transverse Axis (Horizontal)
y=k
7
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Conjugate Axis (Horizontal)
x=h
8
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Asymptotes (Horizontal)
y-k = ±b/a(x-h)
9
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Vertices (Vertical)
(h, k±a)
10
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Foci (Vertical)
(h, k±c)
11
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Transverse Axis (Vertical)
x=h
12
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Conjugate Axis (Vertical)
y=k
13
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Asymptotes (Vertical)
y-k = ±a/b(x-h)
14
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Relationship of a, b, and c
c = √a^2 + b^2