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Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7

Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7-example-1

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Answer:

g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Explanation:

We are given that


g(x)=f(x)-7

We have to identify the transformation that occurs to create the graph of g(x).

To identify the transformation that occurs to create the graph of g(x)

We will subtract the 7 from f(x).

Let f(x) be any function


g(x)=f(x)-k

It means g(x) obtained by shift the function f(x) down k units by subtracting k units from f(x).

Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

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