Answer: the correct option is
(B) The graph shifts 5 units down.
Step-by-step explanation: We are given to select the statement that best describes the effect of replacing the graph of f(x) with the graph of f(x) − 5.
We know that
if a function y = f(x) is replaced by y = f(x) - 5, then we have
\(y=f(x)-5\\\\\Rightarrow y-5=f(x).\)
That is, y co-ordinate is reduced by 5 units.
Thus, the graph of f(x) will shift 5 units down.
For example, the graphs of f(x) = x² as compared to f(x) - 5 = x² - 5 is shown in the figure below.
Option (B) is CORRECT.
