The graph of f(x), shown below, has the same shape as the graph of g(x) = x4, but it is shifted to the right 2 units. what is its equation? f(x) = a. f(x) = (x + 2)4 b. f(x) = (x - 2)4 c. f(x) = x4 - 2 d. f(x) = x4 + 2

Any shifting to the right or left indicates movement on the x-axis.  So if there is movement along the x-axis, the number of units it moves right or left will be with the x inside a set of parenthesis.  The form for that is (x-h).  So if a graph moves 2 to the right, which we know is a positive 2, if we put it into standard form, it will be (x-(+2)), which is, simplified, (x-2).  Our graph moves to the right 2 so B is your choice. Just FYI, it can't be C or D because the numbers after the sign indicate up and down movement.  Choice C reflects the parent graph shifted down 2 units, while D reflects the parent graph shifted up 2.

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