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anonymous

  • one year ago

Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1.

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  1. anonymous
    • one year ago
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    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.

  2. anonymous
    • one year ago
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    would it be 1/2(x-6)^2+3/2 ?

  3. anonymous
    • one year ago
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    @izuru

  4. anonymous
    • one year ago
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    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.

  5. anonymous
    • one year ago
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    And yes that's the correct answer, sorry just explaining the process

  6. anonymous
    • one year ago
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    okay thank you!

  7. anonymous
    • one year ago
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    You're welcome!

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