Question: Let f (x) = x 2 . Graph the functions f (x + 1), f (x - 1), f (x + 2), and f (x

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 (g(x)), where g(x) = x + a for some constant a. Test your guess on the functions f (x) = x3 and f (x) = √x.

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