Question

The graph shows f(x) and its transformation g(x) . What is the function equation for g(x)?

Answer 1

Oh ya that's right g(x)=2^x+3

Answer 2

Answer:

B. $g(x) = 2^{x+3}$

Step-by-step explanation:

We are given the graph of the function $f(x) = 2^{x}$ and g(x).

It is required to find the which function does the graph g(x) represents.

Now, as it is clear from the graph that the function g(x) is obtained after translating f(x) horizontally to the left.

The general form of the horizontal translation of a function f(x) is f(x+3).

So, according to our options, we see that $g(x) = 2^{x+3}$.

Hence, option B is correct.