Consider the parametric function given below by the equations x=-t +2 y = t² – 2 for t in the interval [–3,2]. a. Graph the plane curve defined by this parametrization on the axes below. Be sure to indicate the direction for the curve in on your graph. b. Find a rectangular (Cartesian) equation for this curve in terms of just y and x.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Consider the parametric function given below by the equations
x = -t +2
y = t² – 2
for t in the interval[-3,2].
a. Graph the plane curve defined by this parametrization on the axes below. Be sure
to indicate the direction for the curve in on your graph.
b. Find a rectangular (Cartesian) equation for this curve in terms of just y and x.
Transcribed Image Text:Consider the parametric function given below by the equations x = -t +2 y = t² – 2 for t in the interval[-3,2]. a. Graph the plane curve defined by this parametrization on the axes below. Be sure to indicate the direction for the curve in on your graph. b. Find a rectangular (Cartesian) equation for this curve in terms of just y and x.
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