Consider the parametric equations below. x = t2 - 1, y = t + 4, -3 sts 3 (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 8 8 6 6 х -8 -6 -4 -2 2 – 2 4 6 8 y y 8 8 6 X -2 2 4 8 -8 -6 -4 -2 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1sys 7

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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Question
Consider the parametric equations below.
x = t2 - 1, y = t + 4,
-3 sts 3
(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
8
6
2
-8
-6
-4
-2
2
2
4
6
8
y
y
8
8
6
6
4
4
2
-2
2
4
6
8
-8
-9-
-4
2
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for 1sys7
Transcribed Image Text:Consider the parametric equations below. x = t2 - 1, y = t + 4, -3 sts 3 (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 8 6 2 -8 -6 -4 -2 2 2 4 6 8 y y 8 8 6 6 4 4 2 -2 2 4 6 8 -8 -9- -4 2 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1sys7
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