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RSB [31]
2 years ago
8

What is the equation of the parabola with focus (0, -3) and directrix y= 2?

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
4 0

Answer:

  y = -1/10x^2 -1/2

Step-by-step explanation:

The equation for a parabola with focus (a, b) and directrix y = d is ...

  y = 1/(2(b -d))(x -a)² +(b +d)/2

__

For the given focus and directrix, we have ...

  • a = 0
  • b = -3
  • d = 2
  • y = 1/(2(-3-2))(x -0)² +(-3+2)/2

Simplified, the equation is ...

  y = -1/10x² -1/2

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3 years ago
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