What is a Bezier curve?
In Illustrator, a curve segment is also called a Bezier curve. A Bezier curve consists of two anchor points connected by a curve segment, with at least one direction line attached to each anchor point. If an anchor point connects a curve and a straight-line segment, it will have one common direction line. If an anchor point connects two curve segments, it will have a pair of direction lines. If you move an anchor point, segments connected to it will reshape. If you move a curve segment, connecting anchor points will not move along with it. If you move a line segment, connecting anchor points will also move.