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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) - 57 (1 point)

а. The graph shifts 5 units up.
b. The graph shifts 5 units down.
с. The graph shifts 5 units left.
d. The graph shifts 5 units right.

User Zajn
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1 Answer

2 votes

Final answer:

The effect of replacing the graph of f(x) with the graph of f(x) - 57 is that the entire graph shifts 57 units downward.

Step-by-step explanation:

The question is asking about the effect of subtracting a constant value from a function on its graph. If we take the function f(x) and transform it to f(x) - 57, we are subtracting 57 from all the y-values of the original function f(x). This transformation will result in a vertical shift of the graph. Specifically, the graph of f(x) - 57 is the same as the graph of f(x), but moved 57 units downward. So, the correct statement is that the graph shifts 57 units down, not 5 units as the question incorrectly states.

User Musterknabe
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