Example 6.  Find the Bézier curve which starts at and ends at which has the control points and , respectively.
Use Bernstein polynomials.  

Solution 6.

Formulate the Bézier curve as linear combinations of Bernstein polynomials and call it  .   

Replace the values in   and call it  .   

Graph the curve    for  .   

(c) John H. Mathews 2004