Question #6e900
1 Answer
The equation is:
Explanation:
We need the formula for the Distance from a Point to a Line :
d =
where the point is
We are given the line
The distance from the focus
Because a parabola is defined at the locus of points equidistant from and point and a line, we can set the right side of equation [1] equal to the right side of equation [2]:
Square both sides:
Expand the squares:
Use the distributive property:
To write in the General Cartesian Form for a Conic Section ,
Multiply both sides by 2:
Here is a graph of, the parabola, the focus, and the directrix: