Final answer:
The transformation of the graph of y = sin(x) to y = sin(x + 2) results in a horizontal shift of the original graph 2 units to the left on the x-axis.
Step-by-step explanation:
The graph of y = sin(x) is transformed into the graph of y = sin(x + 2) through a horizontal shift to the left by 2 units. This is because adding a positive number inside the function argument (x + 2) causes the sine curve to move leftward on the x-axis. If instead we subtracted a number inside the function argument, it would shift the curve to the right. In the context of a sine function that oscillates between +1 and -1 every 2 radians, the transformation y = sin(x + 2) would mean that each point on the sine curve is encountered 2 units earlier than it would have been on the standard y = sin(x) curve.