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

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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Ok There is a formula for that
It is \[\sqrt{(x1-x2)^2-(y1-y2)^2}=\sqrt{y1-y2}\]
So plugin in the values \[\sqrt{(x-0)^2-(y-1)}=\sqrt{(y+1)^2}\]

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Other answers:

The parenthesis will cancel out
you will be left with\[(x-0)^2-(y-1)^2=(y+1)^2\]
Leave the x values a lone
and put all the y values on the right side
Ok, Im confused. What would the final solution come out to?

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