Quadratic Function Evaluator

Calculate and visualize quadratic functions of the form $$f(x) = ax^2 + bx + c$$

Enter x:

Enter a:

Enter b:

Enter c:

Result:

Quadratic Function Graph

Understanding Quadratic Functions

A quadratic function is a polynomial function of the form $$f(x) = ax^2 + bx + c$$, where a, b, and c are constants, and $$a \neq 0$$. The graph of a quadratic function is a parabola, a U-shaped curve. Quadratic functions are used to model various real-world phenomena, such as projectile motion, the shape of satellite dishes, and the trajectory of a ball thrown in the air. This tool helps you evaluate the value of a quadratic function for a given x and visualize its graph. You can input the coefficients a, b, c, and the value of x to calculate f(x) and see the corresponding parabolic curve.