Practice!

Sample Problem

Find a set of parametric equations to represent y=3-5x using the parameter t=2+√x.

Solution

Letting t=2+√x, we obtain the parametric equations

t=2+√x

t-2=√x

(t-2)2=x

y=3-5x=3-5(t-2)2=3-5(t2-4t+4)=3-5t2+20t-20=-5t2+20t-17

So x=(t-2)2 and y=-5t2+20t-17