Final answer:
To translate the function f(x) = |x| right by 2 units, we replace x with (x - 2) resulting in the function rule for g(x) being |x - 2|.
Step-by-step explanation:
The student's question is about translating the function f(x) = |x|.
To obtain the function g(x), which is a translation of f(x) right 2 units, we use the algebraic rule that for any function f(x), the function f(x - d) represents f(x) translated d units to the right on the x-axis. Therefore, to translate the function f(x) = |x| right 2 units, we replace x with (x - 2) in the original function. The new function rule for g(x) will be |x - 2|.
To translate the function f(x) = |x| right by 2 units, we replace x with (x - 2) resulting in the function rule for g(x) being |x - 2|.