use the parametric equations and determine the rectangular e

use the parametric equations and determine the rectangular equation for the curve given by the parameteric equation. create a table (t, x, y), show the orientation and state the domain.

x = t - 1

y = t^2 + 3

Solution

x=t-1

t=x+1

y=t²+3

y=(x+1)²+3

when t=-4, x=-5, y=19

when t=-3, x=-4 , y=12

when t=-2, x=-3 , y=7

when t=-1 , x=-2 , y=4

when t=0, x=-1, y=3

when t=1, x=0, y=4

when t=2, x=-1, y=7

when t=3 , x=2, y=12

when t=4, x=3, y=19

domain[-5,3]