



 
Hi Ericka, Suppose $(x, y)$ is a point on the locus then its distance from $(0 ,4)$ is \[\sqrt{(x  0)^2 + (y  4)^2}.\] What is its distance from $(2 ,0)?$ The distance from $(x ,y)$ to $(0, 4)$ is three times the distance from $(x ,y)$ to $(2, 0).$ This gives an equation in $x$ and $y.$ Simplify the equation. Penny  


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