Answer
graph I
Work Step by Step
As $x\rightarrow-\infty,$
$x^{2} $ is a large positive number, and so is $(x^{2}-4)$
Their product is positive.
The minus sign changes it to negative
So as $ x\rightarrow-\infty$, Q(x)$\rightarrow-\infty$
(the graph sinks down on the far left)
As $x\rightarrow+\infty,$
$x^{2} $ is a large positive number, and so is $(x^{2}-4)$
Their product is positive.
The minus sign changes it to negative
So as $ x\rightarrow$+$\infty$, Q(x)$\rightarrow-\infty$
(the graph sinks down on the far right)
The graph that fits this behavior is
graph I