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Question 823775: Find an equation of a parabola with focus(5,0) and directrix x = -5
Thanks so much in advance:)
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
given:
focus(5,0)
directrix x = -5
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directrix is a vertical line, so parabola is horizontal.
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find vertex, half way between focus and directrix:
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h = (5 - (-5))/2 + -5
h = (5 + 5)/2 + -5
h = 5 + -5
h = 0
vertex = (h,k) = (0,0)
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directrix is to the left of the focus so parabola opens to the right and p is positive
distance between focus and vertex: p = 5
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conic form of horizontal parabola:
4p(x – h) = (y – k)^2
4(5)x = y^2
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answer:
20x = y^2
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