Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer:

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

Step-by-step explanation:

When a change is made inside the parenthesis to the input, the function shifts left and right. Addition shifts it left while subtraction shifts it to the right. Here it is translated two units to the left.

Example:    f(x) = x            $f(x+2) = x_{n+2}$

                   f(5) = 5                 x+2 = 5

                                               x+2-2 = 5-2

                                             x=3 and f(3) = 3

                                                 f(5) = 3

This is so because 5 now matches to the output of two previous which is 3.