anonymous
  • anonymous
Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Deriving equation of the parabola with focus and directrix requires you to use the combined distance formula \[\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(y_2-y_1)^2}\] Plug in the focus on the left side of the equation and plug in the directrix on the right side.
anonymous
  • anonymous
would it be 1/2(x-6)^2+3/2 ?
anonymous
  • anonymous
@izuru

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anonymous
  • anonymous
Okay so first you substitute your information into the equation. What you do next is to remove the radicals. After you've removed the radicals, distribute the y-term binomials. Simplify and then isolate the x terms. Lastly, isolate the y term to get the equation.
anonymous
  • anonymous
And yes that's the correct answer, sorry just explaining the process
anonymous
  • anonymous
okay thank you!
anonymous
  • anonymous
You're welcome!

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