Answer
II
Work Step by Step
The equation of conic with eccentricity $e$ and directrix $d=x$ leads to focus can be written as:
$r=\dfrac{d}{1+\cos \theta}$ when $e=1$
When we look at all the graphs it has been noticed that only parabola with directrix $x=d \gt 0$ and undefined for $\theta =180^{\circ}$ is the graph II.
