Chapter 2 - Secton 2.6 - Transformations of Functions - 2.6 Exercises - Page 209: 100

Yes, the graph of g(x) is obtained from f(x) by - shifting it right by 4 units, and then - shifting up by 5 units.

First of all, $f(x-4)=(x-4+2)^{2}=(x-2)^{2}\qquad $and $f(x-4)+5=g(x).$ Therefore, the graph of g(x) is obtained from f(x) by - shifting it right by 4 units, and - shifting up by 5 units.