(552, #25) Graph , and observe how x and y increase or decrease as t increases. Use these observations to make a rough sketch by hand of the parametric curve. Then use a graphing device to check your sketch.

Solution: Computing for different values of t we get

(x,y) = (255, -63) when t = -4,

(x,y) = (-1,1) when t = 0, and
(x,y) = (255, 64) when t = 4.
Thus the curve is traced out starting in the bottom right-hand corner to (-1,1), and then to the upper right-hand corner.

Maple Code

by: nl