# How do you write a quadratic equation when given two points?

##### 1 Answer

Apr 21, 2018

Two points are not sufficient to specify a quadratic equation.

#### Explanation:

Consider a quadratic equation in factored form.

If we specify

We need a THIRD point to fix the parabola.

One special circumstance exists, though. Suppose the two points we are given are (1, 4) and (6, 4). Because these points lie on a vertical line, there would be NO parabola that could contain both of these points. In general, if the two points have the same