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Given and , find and simplify the following:

  1. Simplify.

  2. , the horizontal shift, will replace '' in the function.
    , the vertical shift, will be added to the entire '' function.

  3. Using set notation, find the domain and range for and .

    Consider the parent graphs of and .
    Domain and range will shift from that of the parent.
    The parent graph of is .
    What is the parent graph of ?