Question

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 is the same for both functions: {y | y is a real number}.
The range is the same for both functions: {y | y > 0}.
The range changes from {y | y > 0} to {y | y > 2}.
The range changes from {y | y > 0} to {y | y > 6}

Answer 1

Correct choice: "The range changes from {y | y > 0} to {y | y > 2}."

Clarification: more precisely, f(x)=|x| has range {y | y ≥ 0}, and after translating right 6 and up 2 (g(x)=|x-6|+2) the range is {y | y ≥ 2}.