Conics, Parametric Equations, & Polar Coordinates

I have no clue how to do these problems! Could someone help please??

Thanks.

1) Sketch the curve represented by the following parametric equations ( indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.

a) x= 2t^(2), y= t^(4) + 1

b) x= t^(2)+ t, y= t^(2) - t

c) x= e^(-t), y= e^(2t) - 1`

d) x= 4 + 2 cos Theta

e) x= 4 sec Theta, y= 3 tan Theta

2) Use a graphing utility to graph the curve represented by the following parametric equation. Indicate the direction the curve. Identify any points at which the curve is not smooth.

a) Witch of Agnesi: x= 2 cot Theta, y= 2 sin^(2) theta

Conics, Parametric Equations E& Polar Coordinates

How would you solve exercices c and e and 2) a? There are some algebraic rules that I am not really remembering:(