Consider the parametric equations below. x = 2, y = t3 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increase y y 30- 30 20 20 10 10 - 10 -8 -6 -4 -10 -8 -6 -4 -10 -10 -20 - 20 -30 -30 y y KK 30 30 20 20 10 10 6 6 8 4 10 4 10 - 10- - 10 - 20 -20- - 30 - 30 (b) Eliminate the parameter to find a Cartesian equation of the curve.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 2ECP
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Consider the parametric equations below.
x = ?, y = t3
(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
y
y
30-
30
20
20
10
10
х
X
-10 -8
-6
-4
- 10 -8 -6 -4
- 10
-10
- 20
- 20
- 30-
- 30
KK
y
y
30
30
20
20
10
10
4
8
10
4
6
8
10
- 10
- 10
- 20
- 20
- 30
- 30
(b) Eliminate the parameter to find a Cartesian equation of the curve.
Transcribed Image Text:Consider the parametric equations below. x = ?, y = t3 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. y y 30- 30 20 20 10 10 х X -10 -8 -6 -4 - 10 -8 -6 -4 - 10 -10 - 20 - 20 - 30- - 30 KK y y 30 30 20 20 10 10 4 8 10 4 6 8 10 - 10 - 10 - 20 - 20 - 30 - 30 (b) Eliminate the parameter to find a Cartesian equation of the curve.
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