Question
Asked Oct 31, 2019

The question says:

"A pair of parametric equations is given. a.) Sketch the curve represented by the parametric equations. b.) Find a rectangular-coordinate equation for the curve by eliminating the parameter. 

x=2t+1, y=(t+ 1/2)2

check_circle

Expert Answer

Step 1

Given:

The parametric equations are x 2t +1,y
2
Sketch the graph as follows:
a.
help_outline

Image Transcriptionclose

The parametric equations are x 2t +1,y 2 Sketch the graph as follows: a.

fullscreen
Step 2

The table is obtained as follows:

x 2-3)+1-5
25
y=-3 +
2
3
4
x 2(-2)1-3
2
9
2
4
x 2)+
y-1
1
2.
4
0x2(0)+1-1
4
12(1)3
9
4
2 2(2)+15
y2-2
25
4
help_outline

Image Transcriptionclose

x 2-3)+1-5 25 y=-3 + 2 3 4 x 2(-2)1-3 2 9 2 4 x 2)+ y-1 1 2. 4 0x2(0)+1-1 4 12(1)3 9 4 2 2(2)+15 y2-2 25 4

fullscreen
Step 3

The sketch of the parame...

3-
2-
help_outline

Image Transcriptionclose

3- 2-

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Functions