Shifting a Graph Let f(x) = x2 . Graph the functions f(x) + 1, f(x) − 1, f(x) + 2, and f(x) − 2. Make a guess about the relationship between the graph of a general function f(x) and the graph of f(x) + c for some constant c. Test your guess on the functions f(x) = x3 and
f(x) =
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