Eliminating parameters and graphing parametric equations

[Supreme]

Homework Statement

"Eliminate the parameter and graph the plane curve represented by the parametric equations."

x=t^2, y=t-1; -1 ≦ t ≦ 3

Homework Equations

The Attempt at a Solution

No need for you guys to graph; I can do that on my own. It would be a lot of work to have you guys graph something.

Solved t with the y equation. y-1 = t
Plugged that into x=t^2. Received x=(y-1)^2.
My problem is that I'm not sure how to find the domain/range so that I can properly graph it. Thanks.

 

[Dick]

Homework Statement

"Eliminate the parameter and graph the plane curve represented by the parametric equations."

x=t^2, y=t-1; -1 ≦ t ≦ 3

Homework Equations

The Attempt at a Solution

No need for you guys to graph; I can do that on my own. It would be a lot of work to have you guys graph something.

Solved t with the y equation. y-1 = t
Plugged that into x=t^2. Received x=(y-1)^2.
My problem is that I'm not sure how to find the domain/range so that I can properly graph it. Thanks.

Isn't that y+1=t? It's probably easier just to graph it as a function of t. If you want to graph it in x-y coordinates then you should think of x as a function of y.