Well lets see.. In high school I had no car, I bought my first car myself... took jobs close enough that I did not need a car. After buying said first car I found a better job that did require driving.
Tranny on my Taurus went out once. I paid for the rebuild myself... engine in the Pathy? Again I bought the replacement myself... same goes for oil changes, tune up's, fuel, insurance... speeding tick.. oh wait, I'm not dumb enough to get those but you get the idea... I hope.
So, parents responsibility? Not a chance my good man... not a chance!