Please sketch the curve for the following parametric equation and show the table to plot points.
(i) x = 2t + 1 and y = t - t2
(ii) For what parameter t does the slope of the line tangent to the graph at the point correspond to the value of the parameter -5? What are the rectangular coordinates at that point?
(iii) Write the parameterization as f(x) in rectangular coordinates. Simplify as much as possible.