Pre-Calc Conics Formulas

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Pre-Calculus

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21 Terms

1
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parabola vertex
(h,k)
2
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parabola focus
(h, k+p)
3
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parabola directrix
y=k-p
4
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parabola axis of symmetry
x=h
5
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horizontal parabola focus
(h+p, k)
6
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horizontal parabola directrix
x=h-p
7
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horizontal parabola axis of symmetry
y=k
8
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horizontal ellipse vertices
(h+-a, k) *ellipse*
9
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horizontal ellipse co-vertices
(h, k+-b) *ellipse*
10
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horizontal ellipse foci
(h+-c, k) *ellipse*
11
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vertical ellipse vertices
(h, k+-a) *ellipse*
12
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vertical ellipse co-vertices
(h+-b, k) *ellipse*
13
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vertical ellipse foci
(h, k+-c) *ellipse*
14
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to find c of ellipse
a^2-b^2=c^2
15
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horizontal hyperbola vertices
(h+-a,k) *hyperbola*
16
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horizontal hyperbola foci
(h+-c, k) *hyperbola*
17
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horizontal hyperbola asymptotes
y=+- b/a (x-h)+k *hyperbola*
18
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vertical hyperbola vertices
(h, k+-a) *hyperbola*
19
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vertical hyperbola foci
(h, k+-c) *hyperbola*
20
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vertical hyperbola asymptotes
y=+- a/b (x-h)+k *hyperbola*
21
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to find c of hyperbola
a^2+b^2=c^2