Given the function:
[tex]f(x)=2^{x+4}[/tex]
to make the transformation of 5 units to the right, we have to write the following function:
[tex]\begin{gathered} g(x)=f(x-C) \\ C=5 \\ \Rightarrow g(x)=f(x-5)=2^{(x-5)+4}=2^{x-5+4}=2^{x-1} \\ g(x)=2^{x-1} \end{gathered}[/tex]
therefore, the required value of k is k = 1
