Answer
$r = 8+6~cos~\theta$
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Work Step by Step
$r = 8+6~cos~\theta$
When $\theta = 0^{\circ}$, then $r = 8+6~cos~0 = 14$
When $\theta = 60^{\circ}$, then $r = 8+6~cos~60^{\circ} = 11$
When $\theta = 90^{\circ}$, then $r = 8+6~cos~90^{\circ} = 8$
When $\theta = 120^{\circ}$, then $r = 8+6~cos~120^{\circ} = 5$
When $\theta = 180^{\circ}$, then $r = 8+6~cos~180^{\circ} = 2$
When $\theta = 240^{\circ}$, then $r = 8+6~cos~240^{\circ} = 5$
When $\theta = 270^{\circ}$, then $r = 8+6~cos~270^{\circ} = 8$
When $\theta = 300^{\circ}$, then $r = 8+6~cos~300^{\circ} = 11$
This graph is a cardiod.
We can see this graph below:
