With problems of this type the easiest thing to do is to write t as a function of x or y, if possible. Since x=t+3, we immediately see that t=x-3 and y=t^{2}-t+2=(x-3)^{2}-(x-3)+2=x^{2}-7 x+14. This is the Cartesian equation of the curve and is the equation of a parabola. It is sketched in Figure 2. Note that in the Cartesian equation of the parabola, the parameter t does not appear.