Final answer:
Replacing f(x) with f(x - 2) in the function f(x) = 8x results in a horizontal translation of the graph 2 units to the right, which is option D.
Step-by-step explanation:
When the function f(x) = 8x is replaced with f(x - 2), this represents a horizontal translation of the original graph of the function. Replacing x with x - 2 in the function shifts the graph to the right by 2 units since we are essentially saying that for the graph to have the same y value as f(x) at a certain x, we now need to input an x value that is 2 greater. Therefore, the correct answer to the effect on the graph when f(x) is replaced with f(x - 2) is:
D) Translates horizontally 2 units right.
In general, when a function is altered from f(x) to f(x - d), the graph of the function translates horizontally to the right side of the coordinate system by d units. The opposite is true if the function changes to f(x + d) where the graph translates horizontally to the left side.