Below is the graph of $y = a \sin (bx + c)$ for some positive constants $a,$ $b,$ and $c.$  Find $b.$

[asy]import TrigMacros;

size(300);

real f(real x)
{
	return 2*sin(4*x + pi/2);
}

draw(graph(f,-pi,pi,n=700,join=operator ..),red);
trig_axes(-pi,pi,-3,3,pi/2,1);
layer();
rm_trig_labels(-2,2, 2);

label("$1$", (0,1), E);
label("$2$", (0,2), E);
label("$-1$", (0,-1), E);
label("$-2$", (0,-2), E);
[/asy]
The period of the graph is $\frac{\pi}{2}.$  The period of $y = a \sin (bx + c)$ is $\frac{2 \pi}{b},$ so $b = \boxed{4}.$