Question 1127348
Points (x,y) so that distance from focus equals distance from directrix


{{{sqrt((x-3m)^2+(y-0)^2)=sqrt((x-(-3m))^2+(y-y)^2)}}}

-

{{{(x-3m)^2+y^2=(x+3m)^2}}}

{{{y^2=(x+3m)^2-(x-3m)^2}}}

{{{y^2=x^2+6mx+9m^2-(x^2-6mx+9m^2)}}}

{{{y^2=x^2+6mx+9m^2-x^2+6mx-9m^2}}}

{{{highlight(y^2=12mx)}}}
OR
{{{x=(1/(12m))y^2}}}