Question

Question 3 (Multiple Choice Worth 1 points)

Answer 1

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.

Answer 2

The graph shifts 5 units down.