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 $g(x)=x^{2}-2 =f(x)-2$ by
lowering the graph of f by 2 units.
...some points: $(0,-2),\ (\pm 1,-1),\ (\pm 2,2)$