Fiddling with Functions

The purpose of this game is to create a function that will pass through as many points as possible.
This worksheet is designed to help students hone their knowledge of creating functions (lines, quadratics, cubics, etc.) that pass through a set of given points. Create a line passing through two points. Using the same points, create a parabola that passes through the same two points. Is there a way you can always capture at least three points?