College Trigonometry, 2011a

11.10 Parametric Equations 1059
11.10.1 Exercises
In Exercises 1 - 20, plot the set of parametric equations by hand. Be sure to indicate the orientation
imparted on the curve by the parametrization.
1.
{ { x =4t − 3
x =4t − 1
y =6t − 2 for 0 ≤ t ≤ 1 2. y =3− 4t
for 0 ≤ t ≤ 1
3.
5.
{ x =2t
y = t 2 for − 1 ≤ t ≤ 2 4.
{
x = t 2 +2t +1
y = t +1
for t ≤ 1 6.
{ x = t − 1
y =3+2t − t 2 for 0 ≤ t ≤ 3
{ (
x =
1
9 18 − t
2 )
y = 1 3 t
for t ≥−3
7.
{ x = t
y = t 3 for −∞