Final answer:
The correct point on the graph of y = f(3x) corresponding to the original point (6, -8) on y = f(x) is (2, -8). This is found by dividing the original x-coordinate by 3, with the y-coordinate remaining the same.
Step-by-step explanation:
Given that the point (6, -8) is on the graph of y = f(x), we need to find a corresponding point on the graph of y = f(3x).
To find the transformed point, we take the original x-coordinate, divide it by 3, and maintain the original y-coordinate since there is no vertical scaling or shifting.
Therefore, the x-coordinate of the new point will be 6/3, which is 2, and the y-coordinate will remain -8.
The correct point on the graph of y = f(3x) that corresponds to the original point (6, -8) on y = f(x) is therefore (2, -8).