conics

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11 Terms

1
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horizontal ellipse

(x - h)2 + (y - k)2 = 1
a2 b2

2
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vertical ellipse

(x - h)2 + (y - k)2 = 1
b2 a2

3
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horizontal hyperbola

(x - h)2 - (y - k)2
a2 b2

4
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vertical hyperbola

(x - h)2 - (y - k)2
b2 a2

5
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vertical AOS parabola

(x - h)2 = 4p(y - k)

6
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horizontal AOS parabola

(y - k)2 = 4p(x - h)

7
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circle

(x - h)2 + (y - k)2 = r2

8
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AC for circle

A = C

9
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AC for ellipse

same sign

10
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AC for parabola

A = 0 or C = 0

11
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AC for hyperbola

opposite signs