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