monTu5rb9orimlan
monTu5rb9orimlan monTu5rb9orimlan
  • 09-12-2016
  • Mathematics
contestada

Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7

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Nirina7
Nirina7 Nirina7
  • 09-12-2016
the main equation is y=a(x-h)²+k
the focus is (h, k+p), where p=1/4a
y=k-p
(h, k+p)=(−5, −5) , 
the derivative
y'=2a(x-h)
y'=-2/20(x+5)=(-1/10)
(x+5)

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