SOLUTION: find an equation of the parabola with focus (2,-3) and directrix y=1

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Question 1127595: find an equation of the parabola with focus (2,-3) and directrix y=1
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Set of points (x,y) equally distant from (2,-3) and (x,1). Use the Distance Formula if you want to go that pathway.

%28x-2%29%5E2%2B%28y%2B3%29%5E2=%28x-x%29%5E2%2B%28y-1%29%5E2
x%5E2-4x%2B4%2By%5E2%2B6y%2B9=y%5E2-2y%2B1
x%5E2-4x%2B4%2B6y%2B9=-2y%2B1
x%5E2-4x%2B13=-2y-6y%2B1
x%5E2-4x%2B12=-8y
x%5E2-4x%2B4=-8y%2B4-12, completingthesquare
%28x-2%29%5E2=-8y-8
highlight%28%28x-2%29%5E2=-8%28y%2B1%29%29