acantr3ll
acantr3ll acantr3ll
  • 20-05-2018
  • Mathematics
contestada

what are the focus and directrix of the parabola with the equation y=1/16x^2

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CastleRook
CastleRook CastleRook
  • 29-05-2018
y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
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