nsider the parametric equations below. x=²-2, y=t+1, -3 ≤t≤ 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. -8 -2 -6 -4 2 -2 4 y 6 4 6 2 X -X 8 (b) Eliminate the parameter to find a Cartesian equation of the curve. for -2 ≤ y ≤ 4 -8 -6 y 6 -4 2 -2 4 6 6 2 8 X X
nsider the parametric equations below. x=²-2, y=t+1, -3 ≤t≤ 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. -8 -2 -6 -4 2 -2 4 y 6 4 6 2 X -X 8 (b) Eliminate the parameter to find a Cartesian equation of the curve. for -2 ≤ y ≤ 4 -8 -6 y 6 -4 2 -2 4 6 6 2 8 X X
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
Related questions
Question
![nsider the parametric equations below.
x=t² - 2, y = t + 1, -3 ≤t≤ 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.
6
2
+
-8
-6
-4
-2
2
-2
y
6
2
y
4
6
8
X
X
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -2 ≤ y ≤ 4
-8
y
-6
6
2
-2
4
2
-2
ܠܪ
6
2
8
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27af745b-6d4f-4129-9ebf-5574c17547e0%2F59624c43-f240-48f8-a722-626f2ba55111%2F3kllcbg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:nsider the parametric equations below.
x=t² - 2, y = t + 1, -3 ≤t≤ 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.
6
2
+
-8
-6
-4
-2
2
-2
y
6
2
y
4
6
8
X
X
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -2 ≤ y ≤ 4
-8
y
-6
6
2
-2
4
2
-2
ܠܪ
6
2
8
X
X
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