Quadratic Equation Graph

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Real time physics simulation showing parabolic shape changes with respect to change in coefficients in quadratic equation.

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

quadratic equation

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.

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