Math
posted by Steven on .
For each point in a set of points, its distance from (2,4) is three times its distance from the line x=6
1. find the equation
2. tell which conic section the graph will be.

looks like a parabola.
distance from (x,y) to x=6 is x6
distance from (2,4) given by (x+2)^2 + (y4)^2
vertex at (4,4) since it is 2 from x=6 and 6 from (2,4)
(3(x6))^2 = (x+2)^2 + (y4)^2
or
9(x6)^2  (x+2)^2 = (y4)^2
Not sure how to reduce that to
(y4) = a(x4)^2