# Can I find the equation of a quadratic function when only two of its points are known?

##### 1 Answer

Aug 21, 2014

The answer is no.

Think about the quadratic. When we substitute the points,

If we substitute 2 points, we have 2 equations and 3 unknowns. This is an underdetermine system of linear equations, so many quadratics will go through those 2 points.

In general, if we have a degree