College Trigonometry, 2011a

11.10 Parametric Equations 1063
11.10.2 Answers
1.
{ x =4t − 3
y =6t − 2 for 0 ≤ t ≤ 1
y
2.
{ x =4t − 1
y =3− 4t
y
for 0 ≤ t ≤ 1
4
3
3
2
2
1
1
−3 −2 −1 1
−1
x
−1 1 2 3
−1
x
−2
3.
{ x =2t
y = t 2 for − 1 ≤ t ≤ 2
y
4.
{ x = t − 1
y =3+2t − t 2 for 0 ≤ t ≤ 3
y
4
4
3
3
2
2
1
1
−3 −2 −1 1 2 3 4
x
−1 1 2
x
5.
{ x = t 2 +2t +1
y = t +1
y
for t ≤ 1
6.
{ (
x =
1 18 − t
2 )
9
y = 1 3 t
y
for t ≥−3
2
2
1
1
−1
1 2 3 4 5
x
−3 −2 −1 1 2
−1
x
−2