Draw a table for different values of t and plot the corresponding points (x,y) obtained from the table.Connect the points to a smooth curve. ( Refer the attached image).

The direction in which the graph of a pair of parametric equation is traced as the parameter increases is called the...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

Draw a table for different values of t and plot the corresponding points (x,y) obtained from the table.Connect the points to a smooth curve. ( Refer the attached image).

The direction in which the graph of a pair of parametric equation is traced as the parameter increases is called the orientation imposed on the curve by the equation.

Now let's eliminate the parameter t , to write the corresponding rectangular equation,

Given parametric equations are :

`x=root(4)(t)` ----------------- (1)

`y=8-t` ---------------- (2)

From equation 1,

`t=x^4`

Substitute t in the equation 2,

`y=8-x^4` , is the rectangular equation of the given parametric equations.