What is quadratic function?

A quadratic function is a type of polynomial function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0. The graph of a quadratic function is a parabola, which is a U-shaped curve. Quadratic functions are commonly used in mathematics and physics to model various real-world phenomena.

A quadratic function is a polynomial function of degree 2, which means its highest exponent is 2. It is typically written in the form f(x) = ax^2 + bx + c, where a, b, and c are real numbers and a is non-zero.

The graph of a quadratic function is a parabola. The parabola opens upward if a > 0, and it opens downward if a < 0. The vertex of the parabola is the point where it changes direction. The vertex is located at (h, k), where h = -b/2a and k = f(h).

Quadratic functions have a variety of applications in mathematics and science. They are used to model the trajectory of projectiles, the shape of bridges, and the growth of populations.

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