posted by Steven .
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 x-6
distance from (-2,4) given by (x+2)^2 + (y-4)^2
vertex at (4,4) since it is 2 from x=6 and 6 from (-2,4)
(3(x-6))^2 = (x+2)^2 + (y-4)^2
9(x-6)^2 - (x+2)^2 = (y-4)^2
Not sure how to reduce that to
(y-4) = a(x-4)^2