A graph is defined in polar coordinates by $r = \cos \theta + \frac{1}{2}.$  Find the smallest $x$-coordinate of any point on this graph.
Question:
A graph is defined in polar coordinates by $r = \cos \theta + \frac{1}{2}.$  Find the smallest $x$-coordinate of any point on this graph.
Answer:
Let's think step by step.

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-\frac{1}{16}
A graph is defined in polar coordinates by $r = \cos \theta + \frac{1}{2}.$  Find the smallest $x$-coordinate of any point on this graph.
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