A quadratic function, in mathematics, is a polynomial function of the form
The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis.
The expression in the definition of a quadratic function is a polynomial of degree 2 or second order, or a 2nd degree polynomial, because the highest exponent of x is 2.
If the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the equation.
Read more about Quadratic Function: Origin of Word, Roots, Forms of A Quadratic Function, Graph, The Square Root of A Quadratic Function, Iteration, Bivariate (two Variable) Quadratic Function
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—E.M. (Edward Morgan)