Given:
![\begin{gathered} f(s)=e^s-4 \\ \\ g(s)=(1)/(2)e^s-4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3xhc54c59w65zb77w9qiuk690k3rfk3vi1.png)
From the function above, there was a horizonal stretch.
using the transformation rule:
![(x,y)\Longrightarrow((x)/(b),y)](https://img.qammunity.org/2023/formulas/mathematics/college/e8vgw5zfzw4sevb2bgn9mbcnkqnybtre8t.png)
Therefore, we can say that there is a horizontal shift of the graph to the right.
ANSWER:
B. The graph of the function g(s) is a horizontal shift of the graph of the function to the right.