Understanding the Locus of a Vector: Homework Question & Solution

[harrietstowe]

Homework Statement

What is the locus of the head of R = (t+1)i + (t^2 + 2t +3)j

Homework Equations

The Attempt at a Solution

I have no idea what a locus of a vector is? Is it like a moving point or something?
Thanks

 

[Dick]

It's the curve in the xy plane that the head of the vector passes through. Yes, find the curve of the 'moving point'. Write x=t+1 and y=t^2+2t+3, eliminate the t and see if you recognize the resulting xy equation.