A pair of parametric equations is given. x=t², y=t-3, 3sts6 (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. V V

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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17
A pair of parametric equations is given.
x=t², y=t-3,
3st≤6
(a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases.
y
y
X
X
-30
-30
-20
3
-10
1
20 30
-30 -20 -10
10 20 30
y
y
3
2
✓ V
X
-20 -10
10 20 30
-30 -20 -10
10
20 30
-1
3
10
2
Transcribed Image Text:A pair of parametric equations is given. x=t², y=t-3, 3st≤6 (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y X X -30 -30 -20 3 -10 1 20 30 -30 -20 -10 10 20 30 y y 3 2 ✓ V X -20 -10 10 20 30 -30 -20 -10 10 20 30 -1 3 10 2
-30
-20 -10
2
1
-18
y
3
2
10 20
30
X
X
30 20 -10
-30 - 20 -10
10 20 30
-1
O
(b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
, where
SXS
-30
20 -10
-1
1
1
3
2
1
10
10
20
20
30
30
X
X
4
Transcribed Image Text:-30 -20 -10 2 1 -18 y 3 2 10 20 30 X X 30 20 -10 -30 - 20 -10 10 20 30 -1 O (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. , where SXS -30 20 -10 -1 1 1 3 2 1 10 10 20 20 30 30 X X 4
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