Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

The vertex of f(x) = x² is (0, 0). Rewrite g(x) = x² + 2x + 1 as (x + 1)², whose vertex is (-1, 0). Moving from (0, 0) to (-1, 0) is a translation left 1 unit, so the answer is left 1 unit.

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