austinp7632
contestada

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.

Respuesta :

bobby286
The last one if it is talking about horizontal shifts.

Answer:

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

Step-by-step explanation:

The given expression is

[tex]g(x)=f(x+2)[/tex]

This equation states that function [tex]g(x)[/tex] is a transformation of function [tex]f(x)[/tex], 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 [tex]g(x)[/tex].