Consider the parametric equations x = (t + 1)² and y = t + 2 for-3 St≤ 3. (a) Make a brief table of values of t, x and y. (b) Plot the (x, y) pairs from your table and graph the complete parametric curve, indicating the positive orientation (the direction of increasing t). (c) Eliminate the parameter to obtain an equation in x and y.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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1. Consider the parametric equations x = (t + 1)2 and y = t + 2 for -3 ≤t≤ 3.
(a) Make a brief table of values of t, x and y.
(b) Plot the (x, y) pairs from your table and graph the complete parametric curve,
indicating the positive orientation (the direction of increasing t).
(c) Eliminate the parameter to obtain an equation in x and y.
MacBook Air
Transcribed Image Text:1. Consider the parametric equations x = (t + 1)2 and y = t + 2 for -3 ≤t≤ 3. (a) Make a brief table of values of t, x and y. (b) Plot the (x, y) pairs from your table and graph the complete parametric curve, indicating the positive orientation (the direction of increasing t). (c) Eliminate the parameter to obtain an equation in x and y. MacBook Air
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