Answer
please see image
(graph of g(x) is red)
.
Work Step by Step
1. Graph $f(x)=x^{2}$
...opens up, vertex at (0,0),
some points: $(0,0)$, $(\pm 1,1),\ (\pm 2,4)$.
(graph: blue, dashed)
Refer to Table 2.4 (page 279):
2. To graph $y=(x-2)^{2} =f(x-2)$ by
shifting the graph of f to the right by 1 unit.
...some points:
$(2+0,0)$, $(2\pm 1,1),\ (2\pm 2,4)$
(graph: green, dotted )
3. To graph $g(x)=(x-2)^{2}+1 =f(x-2)+1$
by raising the green graph by 1 unit.
...some points:
$(2+0,0+1)$, $(2\pm 1,1+1),\ (2\pm 2,4+1)$
(graph: red )