SOLUTION: Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(5, 0) and the line x = -5. is the following corrct: x=-1/20 y^2

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 point F(5, 0) and the line x = -5. is the following corrct: x=-1/20 y^2       Log On


   



Question 768363: Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(5, 0) and the line x = -5.
is the following corrct: x=-1/20 y^2

















Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
General point (x,y).
Find distance from (-5,y) to (x,y). Find distance from (5,0) to (x,y).
EQUATE them. You would use distance formula for both of those distance expressions.

Obtain %28x%2B5%29%5E2=%28x-5%29%5E2%2By%5E2
.
10x=-10x%2By%5E2
20x=y%5E2
highlight%28x=%281%2F20%29y%5E2%29

I had drawn a representative sketch first and find vertex at left, parabola opening to the right. Directrix is to the left of the vertex and focus is to the right of the vertex.