The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?

The range of f(x) = |x| is y ≥ 0, because absolute value is never negative and reaches 0. Moving the graph 2 units up raises every output by 2, so the new range is y ≥ 2; moving it right does not change the range. Choice C gives the intended change, though its strict inequalities should be inclusive: the ranges include 0 and 2, respectively.

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