and therefore what? assuming relatively low (<70mph) speeds (and therefore trivial aero and rolling resistance drag) nothing is different from your high school physics lesson.
the main point is that coasting (not adding acceleration, and not braking (with either regen braking or friction braking) is the most energy efficient way to travel.
An intuition pump to illustrate this is:
imagine you are at the top of a gentle slope (so that aero and rolling resistance drag is trivial for purposes of this hypo) with a totally empty battery. Way off in the distance, there is a supercharger station. What method will bring you closer to the super charger?
Case 1: only coasting in neutral as efficiently as possible (no regen or friction braking).
Case 2: slowing car with regen braking to charge the battery, trading kinetic energy (decreasing speed from the regen braking) for potential energy (adding to the battery charge). When you lose speed from the hill, you then use the battery.
The only situation in which Case 2 would be better is if you add back in the aero drag and the hill was so steep that you gained so much speed (> 70? > 100?) that you lost more to aero drag then you would lose to regen inefficiency. In all other (more typical) cases, Case 1 with only coasting would get you closer to the supercharger (i.e., convert more of your potential energy into moving your cars mass towards the supercharger than Case 2 using regen.
putting time on the x axis instead might illustrate it better to show the area of the graph is the distance covered:
adding some regen braking will allow some additional upward accel as the battery is then recharged, but because of the inherent regen inefficiencies, the downward slope of the braking line will always be steeper than the resulting upward slope of the accel line so you are losing total distance by using regen.