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In the case where y=sin(bx) b, for lack of a better term, squishes or stretches the graph along the x-axis. In other words the values for y will stay between -1 and 1, but that amount of 'cycles' of the sine wave in an interval will increase if b>1 and decrease if 0<b<1. For example one cycle for sin(x) will take 360 degrees or 2pi radians, but sin(2x) will do 2 complete cycles in the same space, and sin(0.5x) will only do half a cycle.

In the case where b is negative, the effects are exactly the same, the only thing that changes is that the value of y is multiplied by -1 i.e. sin(bx)=-sin(-bx). This is different from cosine where the sign of b makes no difference, cos(bx)=cos(-bx).

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