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A quadratic function is a polynomial function in the form

$f(x) = ax^2 + bx + c = 0,\quad a \ne 0$

The graph of a quadratic function is a parabola. If $a = 0$, the function becomes linear. $ax^2 + bx + c$ is a second degree polynomial, as the highest exponent of $x$ is 2. When the function is set to equal zero, it is called a quadratic equation. The solutions to the equation, called roots (zeros) correspond to x-intercepts on a graph. They can be found by factoring, completing the square, graphing, or the quadratic formula.