Conic Sections: Overview of Parabola ( Click Parabola )
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 for Parabolas: Vertex = Center Point Focus = +/- p from Vertex Axis of Symmetry ^ 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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Determine an equation for a Parabola: Center at (0,+3) and Directrix = 4
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+y2 = -4px |
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+y2 = -4(1)x |
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+ y2 = -4x |
Determine an equation for a Parabola: Center at (+3 , +1) and Axis of Symmetry: x = +4
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(y-k)2 = -4p(x-h)2 |
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(y+1)2 = -4(1)(x+3)2 |
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y2 +2y +1 = -4x2 –24x -36 |
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+4x2 +24x + y2 +2y =36 |
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Tom Love
