Answer:
The graph of g(x) is the graph of f(x) translated 7 units right.
Explanation:
Given : Two graph f(x) and g(x)=f(x-7)
To find : The relationship between f(x) and g(x)
Solution : In the graph g(x) the function f(x) changes with 7 unit
As we know, if the value b is subtract from x then there is a right shift in the graph
f(x)→f(x-a)⇒ there is a right shift with b unit.
⇒ In graph g(x), b=7
So there is right shift in graph with 7 unit.
Therefore,The graph of g(x) is the graph of f(x) translated 7 units right.