How is gravity a quadratic function?
Refer to explanation.
We can apply quadratic functions to objects that are in motion under gravity. For this explanation, we take a look at one of the equations of motion from physics that itself is a quadratic function and we set the acceleration of an object as being influenced by gravity.
Recall that a quadratic equation looks like the following:
If we were to recall one of equations of motion from physics, such as the equation:
and if we consider our acceleration,
rearranging this equation gives
and making the change in the position of
as being equal to
So, if we look at them together: