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-3, y = y=+= 3 Step 1 To sketch the curve, make a table of values for the x- and y-coordinates for different values of t. 2 4 8 t 0 1 6

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter11: Graphs
Section: Chapter Questions
Problem 344PT: Complete the table to find four solutions to the equation y= —x+1.
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Step 3
To eliminate the parameter and get an equation in terms of x and y, first solve one of the equations for t.
x = t - 3
t =
Transcribed Image Text:Step 3 To eliminate the parameter and get an equation in terms of x and y, first solve one of the equations for t. x = t - 3 t =
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 - 3, y =
F
Step 1
To sketch the curve, make a table of values for the x- and y-coordinates for different values of t.
4
0
3
1
2
6
8
Transcribed Image Text: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 - 3, y = F Step 1 To sketch the curve, make a table of values for the x- and y-coordinates for different values of t. 4 0 3 1 2 6 8
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