Quadratic Equation Graph

A quadratic equation is a second-order polynomial equation in a single variable


where:


Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be both real, or both complex.

The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x², the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term.

Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.

This simulation shows how shape of the graph will effect when you change coefficients. Simply drag the scroll bars mark as a, b and c to change there values and see how graph changes.