anonymous
  • anonymous
determine the focus of this equation. y=x^2 I GIVE MEDALS
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
is there a formula for the focus of a parabola?
anonymous
  • anonymous
no i dont think so
anonymous
  • anonymous
The answer is (0, 1/4) but I don't know how to derive it easily. This is one bit that I have not had to use in the last 40 years.

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anonymous
  • anonymous
written in this form: 4ay = x^2, 4a is your focal width (latus rectum). a represents the distance from your vertex to the focus (it is also the distance to the directrix in the opposite direction). since your equation is y = x^2, 4a = 1. so a = 1/4. so the focus for y=x^2 is at (0, 1/4)

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