Given:
[tex]\begin{gathered} f(s)=e^s-4 \\ \\ g(s)=\frac{1}{2}e^s-4 \end{gathered}[/tex]From the function above, there was a horizonal stretch.
using the transformation rule:
[tex](x,y)\Longrightarrow(\frac{x}{b},y)[/tex]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.