Question 123500
"definition of a parabola" __ the locus of points equidistant from a point (focus) and a line (directrix)


for a point (x,y) __ the distance from y=2 is y-2


the distance from (-3,6) is sqrt((x+3)^2+(y-6)^2)


(y-2)^2=(x+3)^2+(y-6)^2 __ y^2-4y+4=x^2+6x+9+y^2-12y+36 __ 8y=x^2+6x+41


y=(x^2+6x+41)/8