Question

Find a set of parametric equations for the rectangular equation using (a) t = x and (b) t = 2 - x.

y = x^2 - 3

Answer 1

Step 1:

(a) The parametric equation is  .

Rectangular equation is .

Find the parametric equation by substituting in .

.

Parametric equation is .

step 2:

(b) The parametric equation is .

.

Rectangular equation is .

Find the parametric equation by substituting in .

.

Solution:

(a) Set of parametric equations are and .

(b) Set of parametric equations are and .