Question

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

Option 2 - The graph shifts 5 units down.

Explanation:

To find : Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of
`f(x)-5`?

Solution :

According to the rules of transformation,

`f (x) -b` - shifts the function b units downward.

On comparing with
`f(x)-5`

Here, b=5

Which means there is a shift 5 unit downward.

Therefore, Option 2 is correct.

The graph shifts 5 units down.

Answer 2

The correct answer for the question that is being presented above is this one: "The graph shifts 5 units down." The statement that best describes the effect of replacing the graph of f(x) with the graph of f(x) − 5 is that The graph shifts 5 units down.