   Chapter 10, Problem 29RE

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 + 1 ,   y = t − 3

To determine

To calculate: The corresponding rectangular equation by eliminating the parameters and plot the graph of the rectangular equation when the parametric equations are x=t+1, y=t3.

Explanation

Given:

The parametric equations are x=t+1, y=t3

Calculation:

Consider the parametric equations.

x=t+1..... (1)

y=t3..... (2)

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

For t=0

x=0+1=1y=03=3

For t=1

x=1+1=2y=13=2

For t=3

x=3+1=2

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