Conic Sections: Overview of Parabola  ( Click Parabola )

( Click on the Blue Underlined Words for expanded explanations! )

 

Definition:   A  Parabola  is a set of points equidistant from a single point. *

 

Equation:     +y2   = -4px   Center= (0,0)(y-k)2  = -4p(x-h)2      Center = (h,k)

 

Concepts:   Vertex = Center   Focus = +/- p from Vertex  Aof S ^ to Real Axis Directrix = 4p

 

Eccentricity (e = 1)    Distance:   D=( (x-x)2 + (y-y)2)1/2      Midpoint:  M = [(x+x)/2 , (y+y)/2)]

 

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Parabolas.JPG

 

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Tom Love                   Malone College                Fall 2007