How does the inflection point of quadratic equations relate to the quadratic formula?

The quadratic formula is one of the most useful formulas that are taught since high school, and for good reason. This formula allows to find the values of x for which a quadratic equation equals 0.

However, where does this formula come from and how does it relate to the inflection point of a quadratic equation? To determine such questions there are two important things to keep in mind for quadratic equations:

  1. Every quadratic equation has one and only one…