x=root(4)(t) , y=8-t Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.

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.