Answer
$r= \frac{4}{2 + cos(θ)}$
Work Step by Step
$r= \frac{ed}{1 + e cos(θ)}$
e = 1/2, directrix (d) = 4
$r= \frac{(1/2) (4)}{1 + (1/2) cos(θ)}$
$r= \frac{2}{1 + 0.5 cos(θ)}$
$r= \frac{4}{2 + cos(θ)}$
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