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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.

Verified Answer :

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.

Answer:

Option 2 - The graph shifts 5 units down.

Step-by-step 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.

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