hudson3448 hudson3448
  • 14-06-2022
  • Mathematics
contestada

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

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sqdancefan
sqdancefan sqdancefan
  • 25-06-2022

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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