Engineering Board Exam Reviewer · Parabolas · medium

Find the equation of the parabola with focus (2,3) and directrix x=-2.

  1. - 8 x + y2 - 6 y + 9 = 0
  2. 8 x + y2 - 6 y + 9 = 0
  3. - 4 x + y2 - 6 y + 9 = 0
  4. x2 - 4 x - 8 y + 28 = 0

Answer

A. - 8 x + y2 - 6 y + 9 = 0

Solution

The vertex is midway at (0,3) and p=2. (y-3)2=8x y2-6y+9-8x=0.

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