Have you ever thought that a simple motion like closing your laptop, is related to math? Well it actually is. I was able to track the lid of my computer closing using a program called Logger Pro and turned it into a quadratic graph. The graph has how high the computer lid was in centimeters with the Y-axis and how long the time is in seconds with the X-axis. The Y-intercept of the graph is 21.29 and the X-intercept of the graph in between 0.7 and 0.8. This is a restricted graph because it has a starting point and has an ending point.
There are a lot of other examples of restricted parabola in the real world. For example, kicking a soccer ball is a restricted parabola because it has to have a starting point being where the person kicked it and it has to hit the ground after a while because of gravity. Shooting an arrow is also a great example because there has to be a person shooting it and it also has to fall onto the floor. Lastly, a metronome is a good option because it can not go into the ground therefor restricting its height.
Math is everywhere around you. Next time you see something, look closely at it because it might just be another parabola.