Let's call the two functions [tex] f(x) = x+2 [/tex] and [tex] g(x) = x-1 [/tex]. If you want a tranformation that maps f into g, you can see that you simply have to subtract 3 from f: in fact,
[tex] f(x)-2 = (x+2)-3 = x+2-3 = x-1 = g(x) [/tex]
Now, every transformation like [tex] f(x) \to f(x)+k [/tex] results in a vertical translation, upwards if [tex] k>0 [/tex] and downwards if [tex] k<0 [/tex]. Since in our case [tex] k = -3 [/tex], the function is translated three units down, so the answer is C.
