   Chapter 10, Problem 28RE

Chapter
Section
Textbook Problem

# Using Parametric Equations In Exercises 27-34, sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. x = t − 2 ,   y = t 2 − 1

To determine

To calculate: The corresponding rectangular equation by eliminating the parameters and plot the graph of the rectangular graph when the parametric equations are x=t2, y=t21.

Explanation

Given:

The parametric equations are x=t2, y=t21.

Calculation:

Consider the given parametric equations.

x=t2

y=t21

To graph the parametric firstly find some values of x and y for different values of t.

For t=2

x=22=4y=(2)21=3

For t=1

x=12=3y=(1)21=0

For t=0

x=02=2y=021=1

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