5. Given the quadratic function $y = a x^{2} + b x + c (a \neq 0)$ whose graph is shown in Figure 2, the following 5 conclusions are given:
(1) $a b c > 0$;
(2) $b < 0$;
(3) $c > 0$;
(4) $2 c > m(a m + b) ($ real number $m \neq 1)$. Among these, the correct conclusions are ( ) in number.
(A) 2
(B) 3
(C) 4
(D) 5
5.B.

From the graph, we can see that $a0, c>0$.
When $x=1$, $a+b+c>0$;
When $x=-1$, $a-b+c>0$;
When $x=2$, $4 a+2 b+c>0$;
When $x=3$, $y=m(a m+b)$ can be verified to be correct. Therefore, (3)(4)(5) are correct.