Answer to Question #150665 in Analytic Geometry for Haley

Question #150665

find the equation of a parabola with a focus at (0,-1) and a directrix at y=4

Expert's answer

"\\sqrt{(x-0)^2+(y+1)^2}=y-4\\\\\n\\text{square both sides}\\\\\n(x-0)^2+(y+1)^2=(y-4)^2\\\\\nx^2+y^2+2y+1=y^2-8y+16\\\\\nx^2+y^2-y^2+2y+8y+1-16=0\\\\\nx^2+10y-15=0"

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