lepickle
lepickle lepickle
  • 23-05-2018
  • Mathematics
contestada

write the standard form of a parabola with focus at (0,-5) and directrix y=5

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altavistard
altavistard altavistard
  • 23-05-2018
This is a vertical parab because the directrix is horiz.  It opens down, because the directrix is above the focus.  The vertex is (0,0), half way between the focus and the directrix.  Thus, p = -5.    Let's use this info

4py = x^2

Here, 4(-5)y = x^2, or -20y = x^2, or y = (-1/20)x^2
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