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.

 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

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.

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

attachment?

step-by-step explanation: