Punishedvenomsnake Punishedvenomsnake
  • 15-11-2021
  • Mathematics
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A parabola can be drawn given a focus of (1,-3) and a directrix of x=9, what can be said about the parabola?

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jdoe0001 jdoe0001
  • 15-11-2021

Check the picture below.

well, we can say that since its directrix is a vertical line, the parabola opens horizontally, the focus point is at the left of the directrix thus it opens leftwards, ithas a vertex at (5,-3), recall that the vertex is half-way between the focus point and the directrix.

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