Hello!
There are different ways that graphs can move around a graph. It can rotated and translated. For vertical shifts, if f(x) + k, then the function shifts up k units and, if f(x) - k, then the function shifts down k units.
Since y = f(x) - 11, the function shifts down 11 units because it follows the format f(x) - k, and in this case k is equal to 11.
Therefore, the correct answer is choice D, the graph of y = f(x) will shift down 11 units.
