Consider the parametric equations below. x = t? - 5, y = 3 - 4t, -3 sts4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve traced as t increases. 15 15 15 15 10 10 10 10 5 5 5 5 10 -10 -5 - 10 -5 5 10 -5 -5 -10 -10 -10- -10F -15 -15 -15 -15 (b) Eliminate the parameter to find a Cartesian equation of the curve. for -13 sys 15

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 55E
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Consider the parametric equations below.
x = t2 - 5,
y = 3 - 4t,
-3 <t< 4
(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
y
y
15
15
15
15
10
10
10-
10
5
5
5
10
- 10
-5
5
-10
-5
-5
10
-5
-5
- 10
-10
- 10
- 10
-15
-15
-15
-15
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -13 s y s 15
Transcribed Image Text:Consider the parametric equations below. x = t2 - 5, y = 3 - 4t, -3 <t< 4 (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 y y 15 15 15 15 10 10 10- 10 5 5 5 10 - 10 -5 5 -10 -5 -5 10 -5 -5 - 10 -10 - 10 - 10 -15 -15 -15 -15 (b) Eliminate the parameter to find a Cartesian equation of the curve. for -13 s y s 15
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