Answer
See answer below
Work Step by Step
Given: $g(x)=x^2-4$
This is a quadratic function in the form: $y= x^2+bx+c$
where the axis of symmetry is $x=\frac{-b}{2a}=0$
The graph of $g(x)=x^2-4$ is the graph of $y=x^2$ shifted 4 units downward.