Answer
a. parabola.
b. $3$ units right of the pole.
Work Step by Step
a. Comparing the given equation $r=\frac{3}{1+cos\theta}$ with the standard form, we have $e=1, ep=3, p=3$, and we can identify the conic section as a parabola.
b. We can identify the location of the directrix as $3$ units to the right of the pole.
