Question

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

The graph of g(x) is the graph of ​f(x)​ translated 2 units down.

The graph of g(x) is the graph of ​f(x)​ translated 2 units right.

The graph of g(x) is the graph of ​f(x)​ translated 2 units up.

The graph of g(x) is the graph of ​f(x)​ translated 2 units left.

Answer 1

The last one if it is talking about horizontal shifts.

Answer 2

The graph of g(x) is the graph of ​f(x)​ translated 2 units left.

Explanation:

The given expression is

`g(x)=f(x+2)`

This equation states that function
`g(x)` is a transformation of function
`f(x)`, specifically, the function is being shifted 2 units left wards, because they are adding 2 units to x-variable.

Therefore, the right answer is the last choice, because it's specifying the correct transformation that defines
`g(x)`.