Conics

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18 Terms

1
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x² = 4py

opens UP

2
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x² = - 4py

opens DOWN

3
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y² = 4px

opens RIGHT

4
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y² = - 4px

opens LEFT

5
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x² term first (assuming positive)

opens left and right

6
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y² term first (assuming positive)

opens up and down

7
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discriminant positive

hyperbola

8
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discriminant positive

ellipse

9
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discriminant 0

parabola

10
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circle eccentricity

0

11
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parabola eccentricity

1

12
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ellipse eccentricity

between 0 and 1

13
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hyperbola eccentricity

greater than 1

14
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definition of discriminant

B² - (4ac)

15
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Angle of rotation definition

Cot 2(°)= (A-C) / B

16
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Ellipse pyth properties

a² = b² + c²

  • A is ALWAYS bigger than B

  • 2A = the MAJOR AXIS

17
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Eccentricity equation

PF/PD (point-focus/point-directrix)

18
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Hyperbola 2a

Difference of the distances of foci to point