2.) 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. x = t²-1 y=t+2 -6-5-4 -3-2 -2≤t≤2 6 in 4 3 N

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 45CT
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Question
Please solve this problem exactly same way on extra example work
Example
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.
Plug t
O-N
into x dy
t
X
-2 - 10
-1 -2
ONO
10
awnw & As
y
6
3
6
->>
x = t³ + t
Plot (x,y)
Coordinates
y = t² + 2
t=-2
-2≤t≤2
t=-1
+=0
t=2
X
Transcribed Image Text:Example 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. Plug t O-N into x dy t X -2 - 10 -1 -2 ONO 10 awnw & As y 6 3 6 ->> x = t³ + t Plot (x,y) Coordinates y = t² + 2 t=-2 -2≤t≤2 t=-1 +=0 t=2 X
2.)
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.
x = t² - 1
y=t+2
-2≤t≤2
-6-5-4 -3 -2 -1
S
3
N
-
-2-
-3-
4
Transcribed Image Text:2.) 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. x = t² - 1 y=t+2 -2≤t≤2 -6-5-4 -3 -2 -1 S 3 N - -2- -3- 4
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