Answer
$y^2-8x-16=0$.
Work Step by Step
$r=\frac{4}{1-cos\theta}$,
$r-r\ cos\theta=4$,
$r=4+r\ cos\theta$,
$r^2=(4+r\ cos\theta)^2$,
$x^2+y^2=(4+x)^2$,
$y^2-8x-16=0$.
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