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 x^{2}, 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.

# Quadratic Equation Graph

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