Suppose that g(x)=f(x+2) which statement best compares the graph of g(x) with the graph of f(x) a. the graph of g(x) is the graph of f(x) shifted 2 units to the right b thr graph of g(x) is the graph of f(x) shifted 2 units down c the graph of g(x) is the graph of f(x) shifted 2 units up d the graph of g (x) is the graph of f(x) shifted 2 units to the left

Last option is the correct

The  graph of G (x) is the graph of f(x) shifted 2 units to the left

Step-by-step explanation:

We know that for any parent function f(x) the graph of the transformed function:

is a shift of the the parent function f(x) either to the left or the right depending on the value of a.

if a>0 then the shift is 'a' units to the left

and if a<0 then the shift is 'a' units to the right.

Here we have transformed function G(x) as:

i.e. a=2>0.

Hence, the  graph of G (x) is the graph of f(x) shifted 2 units to the left.

c.

step-by-step explanation: