Parametric Equations
A curve in the plane is said to be parameterized if the set of coordinates on the curve, ( x , y ), are represented as functions of a variable t .
Example 1:
Find a set of parametric equations for the equation 
.
Solution:
Assign any one of the variable equal to t . (say x = t ).
Then, the given equation can be rewritten as 
.
Therefore, a set of parametric equations is x = t and .
Example 2:
Eliminate the parameter and find the corresponding rectangular equation.
Solution:
Rewrite the equation x = t + 5 as t in terms of x .
Now, replace t by ( x – 5) in the equation 
.
Therefore, the corresponding rectangular equation is .
