Question

PLEASE HELP!!!! I WILL GIVE BRAINLIEST!!!!!

Answer 1

2^x-3

im taking this test today as well, and i have the answer to this question on the study guide so this is right.

Answer 2

Answer: g(x) = $2^{x-3}$.

Step-by-step explanation:

We are given graph of f(x) and g(x).

f(x) = $2^x$.

Let us observe the coordinates of f(x) and g(x).

(0,1) ---> (3,1)

(1,2) ---> (4,2)

(2,4) ---> (5,4)

From the above coordinates we can see than coordinates of g(x) are being shifted 3 units right of the coordinates of f(x).

So, the transformation is being applied f(x-3).

According to rules of transformation, y=f(x-c) function f(x) gets transfer c units right.

Therefore, we need to replace x by x-3 in the exponent of 2 of f function.

Therefore, g(x) = $2^{x-3}$.