Sketch the curve represented by this parametric equation, and then eliminate the parameter and obtain the general form of the rectangular equation.
x=t+2
y=2t^2
For the table, Soroban just used the equations given. The first row has t= -2. He chose that as a reasonable starting place. If t= -2, then x= t+ 2= -2+ 2= 0 and . If t= -1, then x= t+ 2= -1+ 2= 1 and . If t= 0, then x= t+ 2= 0+ 2= 2 and [tex]y= 2t^2= 2(0)^2= 0, etc.
As for how he eliminated the parameter, acc10jt showed that nicely: from x= t+ 2, x- 2= t. Now replace "t" in by that: .