The basic principal: Taxes will reduce the incentive to make money. That's basically uncontested, the only question is how much suppression comes from what tax rate. Now, there are no sharp lines in the driving force, thus the curve should be smooth.
At 0% it's obvious that the tax collected is zero.
At low levels the suppression effect is small, thus the line rises. If there were no suppression effect this would be a straight line but the suppression effect will pull the line down from that--you get the first part of the parabola.
Eventually you reach a point where the suppression effect brings the size of the pie down as much as the tax rate increases the take, you have the top of the parabola.
Beyond this point the suppression effect dominates, we have basically the reverse of what we saw on the way up. Other than tax avoidance/evasion schemes we hit zero again at 100%--why work if you won't keep any of the result?
You will only get a perfect parabola if the peak is at 50% but it will look similar if the peak is anywhere except right near one of the ends (and that case isn't likely.)