Chapter 12.1, Problem 18E

(a)

To determine

To obtain: The equation in terms of x and y by eliminating the parameter t in the parametric equation $x={\left(t+1\right)}^2,y=t+2;-10\le t\le 10$.

(b)

To determine

To describe: The curve whose parametric equation is defined as, $x={\left(t+1\right)}^2,y=t+2;-10\le t\le 10$.