Final answer:
B) The graph of y = f(x) will shift right 2 units.This type of transformation is associated with horizontal shifts, where changes inside the function modify the x-values. Consequently, replacing x with x - 2 moves the graph to the right.
Explanation:
When the equation y = f(x) is replaced with y = f(x - 2), it indicates a horizontal shift of the function to the right by 2 units. This means that for every x-value in the original function, the new function's graph will have the same y-value but will occur 2 units to the right. This is because subtracting 2 from x inside the function moves the graph horizontally in the positive x-direction. Therefore, the correct choice is B) The graph of y = f(x) will shift right 2 units.
This change in the equation affects the x-values. For any value of x in the original function, x - 2 means that the corresponding point on the new graph will be located two units to the right. This type of transformation is associated with horizontal shifts, where changes inside the function modify the x-values. Consequently, replacing x with x - 2 moves the graph to the right.