The parametric equations of four plane curves are given (a) x = t and y = t2 - 4. (b) x = t2 and y = t4 - 4, (c) x = cos t and y = cos2 t - 4, (d) x = et and y = e2t - 4. Graph each plane curve and determine how they differ from each other.

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Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 4ECP: Find a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b....

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The parametric equations of four plane curves are given (a) x = t and y = t² - 4. (b) x = t² and y = t⁴ - 4, (c) x = cos t and y = cos² t - 4, (d) x = e^t and y = e^2t - 4. Graph each plane curve and determine how they differ from each other.

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