Finding an Algebraic Model for Toy Glider Flight

[Raza]

The table describes the flight of a toy glider launched from a tower on a hilltop.
The values for height indicate the number of metres above or below the top of the hill.

I have to find an algebraic model that gives height as a function of time.

How do I do that?
I have no idea where to start.

Any help would be appreciated!
Thanks :)

 

[0rthodontist]

This can be exactly modeled by a polynomial. Try graphing it.

 

[HallsofIvy]

1. Try a linear model: h= at+ b. Use the first two data points to determine a and b. Does that work for the other points?
If not
2. Try a quadratic model: h= at²+ bt+ c. Use the first three data points to determine a, b, and c. Does that work for the other points?
If not
...