Answer: The answer is (D) [tex]y=4^{x-2}+2.[/tex]
Step-by-step explanation: We are given the graph of an exponential function and we are to select the correct exponential function from the given options.
The attached figure shows the graph of the four exponential functions, where the black graph shows equation (A), red graph shows equation (B), blue graph shows equation (C) and green graph shows equation (D).
We can see the given graph matched with the green graph in the attached figure. In both the graphs, f(0) = 2, which is not satisfied by any other option.
Thus, (D) is the correct option.
