What are the types of position-time graphs?

I really do not know the types. I have a problem that has a part that wants me to tell which graph the problem uses.

Also, they didn't really talk about the types of graphs in the lesson.

Please help, and will really appreciate it.:)

3 answers

could it be horizontal line (stopped), sloping upward (cosntant velocity), and
parabokic upwards...constant acceleration.
_________________ - horizontal line - probably not

/
/ - sloping upwards - possibly
/

\_/ - parabolic - probably not

Thank you again, bobpursley! I looked up each, and I am going with the constant velocity one as the answer to the part of my problem. With the parabola sign, I made it the best I could. Hopefully anyone can see it as a parabola(I know it looks like a face from a stick figure drawing, but I tried). I think I understand the types of graphs too. Thanks again!:D
Oops! I meant to do a straight line thing for the sloping upwards one, but oh well!