2hclan696946
2hclan696946 2hclan696946
  • 16-05-2021
  • Mathematics
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Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

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kcharuhasini7dtaksha
kcharuhasini7dtaksha kcharuhasini7dtaksha
  • 16-05-2021

Answer:

In this problem, given the focus at (2,4) and directrix at y = 8. then it is implied that the parabola is facing downwards. The vertex hence is at the middle of the focus and the directrix, hence at (2, 6). The general formula of the parabola is y-k = -4a  ( x-h)^2. Substituting, y -6 = -1/8 *(x-2)^2. Answer is A.

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