The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph?(–4, 2)(–3, 1)( –2, 5)( –1, 2)

Shifting f(x) = |x| left 2 units replaces x with x + 2, and shifting it up 1 adds 1. The new function is therefore |x + 2| + 1. At x = −1, the function value is |−1 + 2| + 1 = 2, so the point (−1, 2), choice D, lies on the new graph.

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