How are the graphs of r = 1 + sin ( /6) and r = 1

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How are the graphs of r = 1 + sin (θ – π/6) and r = 1 + sin (θ – π/3) related to the graph of r = 1 + sin θ? In general, how is the graph of r = f(θ – α) related to the graph of r = f(θ)?
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