`x=1+t , y=t^2` Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

`x=1+t`   --------------(1)

`y=t^2`        -------------(2)

Draw a table for different values of t and plot the points obtained from the table (Refer the attached image). Connect the points to smooth curve.

From equation 1,

`t=(x-1)` 

Substitute t in equation (2),

`y=(x-1)^2`  

Rectangular equation of the curve is `y=(x-1)^2`

 

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Images:
Image (1 of 1)
Approved by eNotes Editorial