Question

Which statement correctly describes the relationship between the graph of f(x)g(x) and g(x)=f(x−7)?

Answer 1

The graph of g(x) is the graph of ​f(x)​ translated 7 units right.

Explanation:

Hope this helps!

Answer 2

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.