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 up. 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 left.

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

Step-by-step explanation:

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(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.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )