Drawing a parabola with different labels

[Cosmophile]

Hey, all. I'm wanting to type up a few ways to solve a neat Kleppner & Kolenkow problem, and I'd like to put a diagram I've drawn in. Here is what I'd like to insert: https://scontent-iad3-1.xx.fbcdn.net/hphotos-xfp1/v/t34.0-12/12358411_10205721788785508_1144239407_n.jpg?oh=8712c4f0c3d757bc66acdf4be568f5ba&oe=566E3EB9

I'm typing it up on Sharelatex, so I'll be using TikZ. The most I've ever done with LaTeX is here on PF, and the most coding I've ever done was back in 2008 on MySpace, so I'm not sure where to begin. Sorry for the massive image, by the way.

 

[DrClaude]

I suggest you make the base plot with gnuplot, along with the labels and everything, and then output it in a form usable by LaTeX. The following tutorial has some nive examples: http://www.gnuplot.info/files/tutorial.pdf