Pre-Calc Conics Formulas

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parabola vertex

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Pre-Calculus

21 Terms

1

parabola vertex

(h,k)

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2

parabola focus

(h, k+p)

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3

parabola directrix

y=k-p

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4

parabola axis of symmetry

x=h

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5

horizontal parabola focus

(h+p, k)

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6

horizontal parabola directrix

x=h-p

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7

horizontal parabola axis of symmetry

y=k

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8

horizontal ellipse vertices

(h+-a, k) ellipse

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9

horizontal ellipse co-vertices

(h, k+-b) ellipse

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10

horizontal ellipse foci

(h+-c, k) ellipse

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11

vertical ellipse vertices

(h, k+-a) ellipse

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12

vertical ellipse co-vertices

(h+-b, k) ellipse

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13

vertical ellipse foci

(h, k+-c) ellipse

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14

to find c of ellipse

a^2-b^2=c^2

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15

horizontal hyperbola vertices

(h+-a,k) hyperbola

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16

horizontal hyperbola foci

(h+-c, k) hyperbola

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17

horizontal hyperbola asymptotes

y=+- b/a (x-h)+k hyperbola

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18

vertical hyperbola vertices

(h, k+-a) hyperbola

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19

vertical hyperbola foci

(h, k+-c) hyperbola

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20

vertical hyperbola asymptotes

y=+- a/b (x-h)+k hyperbola

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21

to find c of hyperbola

a^2+b^2=c^2

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