The graph of f of x is equal to absolute value of 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 graph of f(x) = |x| has its lowest point at (0, 0), so its range is y ≥ 0. Translating it 6 units right moves the lowest point horizontally but does not change its height; translating it 2 units up moves the lowest point to y = 2. Thus, the range changes to y ≥ 2, as stated in choice D.

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