Parametric Equations: Graphs · Exercise 62

Use a graphing utility to graph the given parametric equations.
(a) $\{\begin{array}{l}x\left(t\right)=cost-1\\ y\left(t\right)=sint+t\end{array}$
(b) $\{\begin{array}{l}x\left(t\right)=cost+t\\ y\left(t\right)=sint-1\end{array}$
(c) $\{\begin{array}{l}x\left(t\right)=t-sint\\ y\left(t\right)=cost-1\end{array}$

Explain the effect on the graph of the parametric equation when we changed the domain.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §10.7 Parametric Equations: Graphs · Exercise 62