math conics

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Pre-Calculus

conics

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14 Terms

1
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parabola

set of points such that each point is equisdant to a fixed point called focus and a line called the directrix

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equation of parabola

x/y squared = 4p y/x

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focus

  1. p

  2. lies inside parabola

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directrix

  1. p

  2. lies outside the parabola

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focal length or latus rectum

4p

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endpoints

endpoints of focal length

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circle

x squared + y squared = r squared

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distance formula

x=square root of (x2-x1)squared +(y2-y1) squared

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ellipse

set of points such that sum of the distances from any point on the ellipse to two fixed points remains constant

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major axis

  1. 2a

  2. long axis of symmetry

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minor axis

  1. 2b

  2. shorter axis of symmetry

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c squared equals

a squared - b squared

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vertices

a units away

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covertices

b units away