What is a Bezier curve in graphic design?

A Bezier curve is indeed a curved line or path that is defined by a mathematical equation. In graphic design, Bezier curves are widely used for creating smooth and scalable curves that can be manipulated with precision. They are defined by control points: typically, at least two endpoints and one or two control points that determine the curvature of the line. The beauty of using Bezier curves lies in their versatility and the ability to make intricate shapes and complex paths with smooth transitions, which are essential in vector graphics software like Adobe Illustrator. This mathematical foundation allows them to maintain smoothness and clarity at any size, adapting to various design needs.

In contrast, a straight line defined by two endpoints does not have the properties of curvature, a polygon with at least three sides refers to shapes like triangles and quadrilaterals, and a shape that cannot be scaled suggests limited resize possibilities, which is not applicable to the scalable nature of curves and paths formed with Bezier curves.