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PLEASE HELP ASAP!!!! Write the equation for a parabola with a focus at (1,4) and a directrix at x=2
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PLEASE HELP ASAP!!!!

Write the equation for a parabola with a focus at (1,4) and a directrix at x=2

User Dominic Egger
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1 Answer

2 votes


The basic form of the equation is:
4p(x-h) = (y-k)2

(h,k) is the vertex


4(-0.5)(x-1.5) = (y-(-4))2
-2(x-1.5) = (y+4)2
-2(x-1.5) = y2 + 8y + 16
x - 1.5 = (-1/2)(y2 + 8y + 16)
x = (-1/2)y2 - 4y - 8 + 1.5
x = (-1/2)y2 - 4y - 6.5
User Mangoose
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