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anonymous

  • one year ago

Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.

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  1. carolinar7
    • one year ago
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    Ok There is a formula for that

  2. carolinar7
    • one year ago
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    It is \[\sqrt{(x1-x2)^2-(y1-y2)^2}=\sqrt{y1-y2}\]

  3. carolinar7
    • one year ago
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    So plugin in the values \[\sqrt{(x-0)^2-(y-1)}=\sqrt{(y+1)^2}\]

  4. carolinar7
    • one year ago
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    The parenthesis will cancel out

  5. carolinar7
    • one year ago
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    you will be left with\[(x-0)^2-(y-1)^2=(y+1)^2\]

  6. carolinar7
    • one year ago
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    Leave the x values a lone

  7. carolinar7
    • one year ago
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    and put all the y values on the right side

  8. anonymous
    • one year ago
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    Ok, Im confused. What would the final solution come out to?

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