Sketch the graph of the function and check the graph with a graphing calculator. Before doing so, describe how the graph of the function can be obtained from the graph of a basic exponential function. \[ f(x)=2^{x-5} \] Select the correct choice below and fill in the answer box to complete your choice. A. Start with the graph of $y=\square^{x}$. Shift the graph 5 units to the left. B. Start with the graph of $y=\square^{x}$. Shift the graph 5 units to the right. C. Start with the graph of $y=\square^{x}$ Shift the graph 5 units down. D. Start with the graph of $y=\square^{x}$. Shift the graph 5 units up. Use the graphing tool to graph the equation.

Step 1 ：The function given is an exponential function, which is a transformation of the basic exponential function. The base of the exponential function is 2, and the exponent is (x-5). The transformation involved here is a horizontal shift, which is determined by the value subtracted from x in the exponent. In this case, x is subtracted by 5, which means the graph of the basic exponential function \(y=2^x\) is shifted 5 units to the right. Therefore, the correct choice is B.

Step 2 ：To confirm this, we can plot the function.

Step 3 ：The graph of the function \(f(x)=2^{(x-5)}\) is indeed a shift of the graph of the basic exponential function \(y=2^x\) 5 units to the right. This confirms that the correct choice is B.

Step 4 ：Final Answer: \(\boxed{\text{B. Start with the graph of } y=2^{x}. \text{ Shift the graph 5 units to the right.}}\)