Chapter 10, Problem 2RE

(a) Suppose that the equations $x=f\left(t\right),y=g\left(t\right)$ describe a curve C as t increases from 0 to 1. Find parametric equations that describe the same curve C but traced in the opposite direction as t increases from 0 to 1.

(b) Check your work using the parametric graphing feature of a graphing utility by generating the line segment between (1, 2) and (4, 0) in both possible directions as t increases from 0 to 1.