## quadratic function

### A quadratic function is a type of polynomial function of degree 2

A quadratic function is a type of polynomial function of degree 2. It is defined by an equation in the form of f(x) = ax^2 + bx + c, where a, b, and c are constants, with a ≠ 0. The highest power of x is 2, making it a quadratic function.

The graph of a quadratic function is a curve called a parabola. The vertex of the parabola corresponds to the minimum or maximum point of the function, depending on whether the coefficient of x^2, a, is positive or negative. If a > 0, the parabola opens upward and the vertex represents the minimum point. If a < 0, the parabola opens downward and the vertex represents the maximum point. The term "quadratic" comes from the Latin word "quadratus," meaning square. This refers to the fact that the highest power of x in a quadratic function is squared. Quadratic functions are used to model a wide range of real-life situations, such as projectile motion, optimization problems, and the behavior of certain physical phenomena. They are also extensively studied in algebra and calculus due to their important properties and applications.

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