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
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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) (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
.
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.
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