Asked 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.
1. find the equation
2. tell which conic section the graph will be.
Answers
Answered by
Steve
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
or
9(x-6)^2 - (x+2)^2 = (y-4)^2
Not sure how to reduce that to
(y-4) = a(x-4)^2
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
or
9(x-6)^2 - (x+2)^2 = (y-4)^2
Not sure how to reduce that to
(y-4) = a(x-4)^2
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