The problem I am working on is, "Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter."
The parametric equations are: $x=t-3$ and $y=\Large\frac{t}{t-3}$
The rectangular function: $y=1+\Large\frac{3}{x}$
Here is the graph from the solution manual:
In my graph, I didn't include the horizontal asymptote. How would I deduce the horizontal from the parametric equations? Would I just take the limit as t went to $\pm \infty$?