Use a graphing utility to sketch the graph of f(x) = x3 + 3x2 − 5x + 11. Then sketch the graph of g(x) = (x + 1)3 + 3(x + 1)2 − 5(x + 1) + 11 on the same axes. What function h(x) would have a graph that is the same as that of f(x), only shifted upward by 2 units and to the left by 3 units?
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