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Question 166883: PLEASE HELP!!!
Write an equation for the parabola with focus (4,0) and directrix y=2
I must show my work.
Thanks
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! a general form for the equation of a parabola is __ (x-h)^2=4p(y-k)
__ where (h,k) is the vertex and p is the distance from the vertex to the focus
the vertex is midway between the focus and the directrix
__ in this case, (4,1)
__ so p=-1
the equation would be (x-4)^2=-4(y-1)
solving for y gives y=(-1/4)(x-4)^2 + 1
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