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)

Find the standard form of the equation of the parabola satisying the given conditions. Focus: (8,0); Directrix; x=-8Solutionfocus(8,0) directrix,x=-8 This parab

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