SOLUTION: if y^2+16y-4x+4=0 then what is the equation of the directrix?

Question 385202: if y^2+16y-4x+4=0 then what is the equation of the directrix?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
if y^2+16y-4x+4=0 then what is the equation of the directrix?
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y^2+16y-4x+4=0
complete the square
y^2+16y+16=4x-4-16=4x-20
Standard form: (y-k)^2=4p(x-h)
(y+4)^2=4(x-5)
This is a parabola with vertex at(5,-4), and axis of symmetry, y=-4
4p=4
p=1
ans: equation of directrix, x=4
see graph below
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