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how to find the equation of the parabola from the focus:(2,5) and the directrix: :x=4

tati006

by tati006 at January 03, 2010

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Focus: (2,5) Diretrix: x= 4 You must first use the midpoint formula for the x-values in order to find the vertex. *Distance between focus and directrix is always the same* Midpt.= (x1 + x2 / 2) Plug in the values, and you get (3,5) I found the y-values from the focus (2,5) Next, you need to find the value of p by finding its distance. I subtracted 3 from 2 and got -1. Since p is negative, the graph is facing left. Now you can make an equation--> x-3 = -1/4(y-5)^2

amarixe amarixe March 07, 2010

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