asteiner6926 asteiner6926
  • 26-03-2018
  • Mathematics
contestada

What are the focus and directrix of the parabola with the given equation x=-1/8y^2?

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CastleRook
CastleRook CastleRook
  • 04-04-2018
The parabola y²=4px has vertex (0,0), focus (0,p) and the equation of the diretrix x=-p.
from our expression:
x=-1/8y²
multiply through by -8 we get:
-8x=y²
copmaring to 
y²=4px
4p=-8
p-2
so it has vertex (0,0), focus (p,0)=(-2,0)
equation of directrix x=-p, or x=2
equation of the axis of symmetry y=0
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