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

1. carolinar7

Ok There is a formula for that

2. carolinar7

It is $\sqrt{(x1-x2)^2-(y1-y2)^2}=\sqrt{y1-y2}$

3. carolinar7

So plugin in the values $\sqrt{(x-0)^2-(y-1)}=\sqrt{(y+1)^2}$

4. carolinar7

The parenthesis will cancel out

5. carolinar7

you will be left with$(x-0)^2-(y-1)^2=(y+1)^2$

6. carolinar7

Leave the x values a lone

7. carolinar7

and put all the y values on the right side

8. anonymous

Ok, Im confused. What would the final solution come out to?