SOLUTION: Write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line. F(0,4), y = 0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line. F(0,4), y = 0      Log On


   

Question 1159533: Write an equation for a graph that is the set of all points in the plane that are equidistant from the given point and the given line. F(0,4), y = 0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
vertex is at (0,2) and graph is concave upward.

%28x-0%29%5E2%2B%28y-4%29%5E2=%28x-x%29%5E2%2B%28y-0%29%5E2, if used from Distance Formula for definition of parabola, or the problem description

x%5E2%2B%28y-4%29%5E2=y%5E2
x%5E2%2By%5E2-8y%2B16=y%5E2
x%5E2-8y%2B16=0
-8y%2B16=-x%5E2
8y-16=x%5E2
highlight%288%28y-2%29=x%5E2%29, or other form if you need

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