Sketch the curve represented by x=t-1 and y=t2.
The parametric equations x=t-1 and y=t2 yield the following (x, y) points [this is just a sample of points to get an idea of what the general graph looks like]:
t=-2 x=-3; y=4 (-3, 4)
t=-1 x=-2; y=1 (-2, 1)
t=0 x=-1; y=0 (-1, 0)
t=1 x=0; y=1 (0, 1)
t=2 x=1; y=4 (1, 4)
Plot these points in order of increasing t values to obtain the orientation of the curve. If a particle were moving on this curve for example, it would go from (-1, 0) to (0, 1) and towards the right side of the parabola.