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](https://img.qammunity.org/2022/formulas/mathematics/college/gycde8ql03olelgnoa7p3qd46dh08nx517.png)
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](https://img.qammunity.org/2022/formulas/mathematics/college/pbg0beev6rqbdrhuvr4xi8kdou8xs7kctx.png)
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).