Construct and graph the cubic Bézier polynomials given the following points and guide points.
a. Point (1, 1) with guide point (1.5, 1.25) to point (6, 2) with guide point (7, 3)
b. Point (1, 1) with guide point (1.25, 1.5) to point (6, 2) with guide point (5, 3)
c. Point (0, 0) with guide point (0.5, 0.5) to point (4, 6) with entering guide point (3.5, 7) and exiting guide point (4.5, 5) to point (6, 1) with guide point (7, 2)
d. Point (0,0) with guide point (0.5, 0.5) to point (2,1) with entering guide point (3, 1) and exiting guide point (3, 1) to point (4, 0) with entering guide point (5, 1) and exiting guide point (3,−1)
to point (6,−1) with guide point (6.5,−0.25)