Translate f(x) down 5 units write the transformed function in terms of g(x) and then graph both on the right

I don't see any specific formula for f(x), so here's an example.



then translating down 5 units just subtracts 5 off the end of the formula.  The translated function has formula



If your question is very general, and g(x) is the result of translating any old function f(x) down 5 units, then

g(x) = f(x) - 5