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 $y=(x-1)^{2} =f(x-1)$ by
shifting the graph of f to the right by 1 unit.
some points: $(1+0,0)$, $(1\pm 1,1),\ (1\pm 2,4)$.
(graph: green, dotted )
3. To graph $g(x)=(x-1)^{2}+1 =f(x-1)+2$
by raising the green graph by 2 units.
...some points:
$(1+0,0+2)$, $(1\pm 1,1+2),\ (1\pm 2,4+2)$
(graph: red )