Working with parametric equations Consider the following parametric equations.

a. Eliminate the parameter to obtain an equation in x and y.

b. Describe the curve and indicate the positive orientation.

x = t − 1, y = t3; −4 ≤ t ≤ 4

Solution 13E

Step 1:

Eliminate the parameter to obtain an equation in x and y .

Given , x = t -1 , y = ; -4

That is , x+1 = t , then y = , since x+1= t.

y =

= 0

Therefore , an equation in x and y is ; = 0