Find the standard form of the equation of the parabola satis
Find the standard form of the equation of the parabola satisying the given conditions.
Focus: (8,0); Directrix; x=-8
Solution
focus(8,0) directrix,x=-8
This parabola is of the form
x=(1/4p)(y-k)2+h
focus is given by (h+p,k)
therefore k=0 and h+p=8
directrix is given by x=h-p
therefore h-p=-8
h+p=8 and h-p=-8
h=0 and p=8
Therefore the required equation is
x=(1/32)(y2)
