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A quadratic function, in mathematics, is a polynomial function of the form
f(x)=ax^2+bx+c,\quad a \ne 0.[1]
The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis.
The expression ax^2+bx+c 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. This expression is also called a quadratic polynomial or quadratic.
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.
f(x)=ax^2+bx+c,\quad a \ne 0.[1]
The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis.
The expression ax^2+bx+c 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. This expression is also called a quadratic polynomial or quadratic.
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.