What is the standard form of the equation of the parabola with a directrix at x=-3 and a focus at (1,-1)?
1 Answer
Aug 7, 2018
Explanation:
Parabola is the locus of a point which moves so that its distance from a given point called focus and a given line called directrix is always equal.
Let the point be
and its distance from directrix
Hence equation of parabola is
and squaring
i.e.
i.e.
or
or
graph{(y^2+2y-7-8x)((x-1)^2+(y+1)^2-0.01)(x+3)=0 [-11.17, 8.83, -5.64, 4.36]}