SOLUTION: Write an equation for a graph that is the set of points in the plane that are equidistant from the point F(6,0) and the line x = -6.

Algebra ->  Circles -> SOLUTION: Write an equation for a graph that is the set of points in the plane that are equidistant from the point F(6,0) and the line x = -6.      Log On


   



Question 1014028: Write an equation for a graph that is the set of points in the plane that are equidistant from the point F(6,0) and the line x = -6.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for a graph that is the set of points in the plane that are equidistant from the point F(6,0) and the line x = -6.
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For point (x,y):
Distance to x = -6 is x+6
Distance to (6,0) = sqrt%28%28x-6%29%5E2+%2B+y%5E2%29
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sqrt%28%28x-6%29%5E2+%2B+y%5E2%29+=+x%2B6
%28x-6%29%5E2+%2B+y%5E2+=+x%5E2+%2B+12x+%2B+36
x%5E2+-+12x+%2B+36+%2B+y%5E2+=+x%5E2+%2B+12x+%2B+36
y^2 = 24x
or x = y^2/24