Question: how do I write the equation of a new function described from the attached image? also, how do I create the graph on the same

how do I write the equation of a new function described from the attached image?

also, how do I create the graph on the same axes for one period of the original function and this new function using Desmos or Graphmatica graphing tool. Also how do I explain how the graph changed/moved in this translation?

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