Parameter m corresponds to the slope of the pink line and makes the "pistons" move up and down. For m=0 we have y=x² and the pistons are at the x values -1, -0.5, 0, 0.5 and 1. Parameter b is for the b in y=x²+bx
Move m and then try to adjust b so that the two parabola correspond. What do you observe?