Question

Question 3 (Multiple Choice Worth 1 points)

(03.05 LC)

Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) − 5?
The graph shifts 5 units up.
The graph shifts 5 units down.
The graph shifts 5 units left.
The graph shifts 5 units right.

Answer 1

the graph shifts 5 units down.

Answer 2

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.