I am in AP Calculus but I think I just understood what a quadratic graph is and I wanted to make sure w/ you guys that I came up w/ the right explanation. I believe a quadratic is a semicircle(only y=x^2, others are semi elipse). The only diff. is that it never gets to complete its semicircle like zeno's paradox. Lets take the graph y=x^2 for example. Its origin is the bottom of the semi circle. When the graph from both sides achieves infinity, its instantaneous slope will become zero and it will be like the side of a circle. What do you think? One other thing is bothering me, Since quadratic graph gets slower toward approaching horizontal infinity and therefore gets faster approaching vertical infinity, it doesn't make sense to my mind that it will approach horizontal infinity. It is sort of like Zeno's paradox that even though, it will keep traveling horizontally, since it will keep getting slower, there will be a limit to the amount of distance it will cover. Here is the page on what I am talking about relating to zeno's paradox. http://en.wikipedia.org/wiki/Zeno's_paradoxes From there, I am qeoting the following: if the distances are always decreasing, the time is finite. What do you think?