Explanation
To move a function up, you add outside the function: f (x) + b is f (x) moved up b units
so , we have
[tex]f(x)=x-5[/tex]to traslate the function 4 units up, we have to add (4) units, so
[tex]\begin{gathered} f(x)=x-5\rightarrow traslate(\text{ ad4)}\rightarrow f(x)=x-5+4 \\ f(x)=x-1 \end{gathered}[/tex]therefore, the answer is
[tex]f(x)=x-1[/tex]I hope this helps you