SOLUTION: Find an equation of a parabola with focus (3,6) and directrix x = -5

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Question 1060382: Find an equation of a parabola with focus (3,6) and directrix x = -5
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Use the definition for Parabola and the Distance Formula.

(x,y) is the same distance from x=-4 as it is from (3,6). The directrix line is the same as point (-4,y).

sqrt%28%28x-%28-4%29%29%5E2%2B%28y-y%29%5E2%29=sqrt%28%28x-3%29%5E2%2B%28y-6%29%5E2%29

sqrt%28%28x%2B4%29%5E2%29=sqrt%28%28x-3%29%5E2%2B%28y-6%29%5E2%29

square both sides:
%28x%2B4%29%5E2=%28x-3%29%5E2%2B%28y-6%29%5E2

Continue to simplify.