conics

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13 Terms

1
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Standard Form: Circle

(x-h)² + (y-k)² = r²

2
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Standard Form: Ellipse horizontal major axis

(x-h)²/a² + (y-k)²/b² = 1 a>b

3
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Standard Form: Ellipse vertical major axis

(x-h)²/b² + (y-k)²/a² = 1 b>a

4
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Standard Form: Horizontal Hyperbola

(x-h)²/a² - (y-k)²/b² = 1 a>b

5
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Standard Form: Vertical Hyperbola

(x-h)²/b² - (y-k)²/a² = 1 b>a

6
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Standard Form: Up/Down Parabola

(x-h)² = 4c(y-k)

7
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Standard Form: Right/Left Parabola

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

8
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Circle center

(h, k)

9
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Formula for Ellipse C

c2=a2-b2

10
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Ellipse eccentricity

e=c/a

11
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Hyperbola formula for c

c2=a2+b2

12
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parabola opens up/down

up: c>0

down: c<0

13
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parabola opens left/right

right if c>0

left if c<0