Quadratic Bezier Curve: Bezier curves are used in art and design to produce smooth curves between two endpoints (shown here as V1 and V2). In a quadratic Bezier curve, two control points are also used (shown here as C1 and C2). The control points determine the direction of the curve at endpoints.[br][br]This construction utilizes dilations with a scale factor equal to the slider value, c. [br][br]Feel free to adjust the positions of the four blue points. Move the slider slowly to fill in the curve. Click "Clear Traces" to erase the red traces.