Chapter 6.6, Problem 108E

(a)

To determine

Whether the graph for the parametric equations $x=\left(-t\right)$ and $y=t^2$ changes or, remains the same as the graph of the parametric equations $x=t$ and $y=t^2$, as shown below. If it changes, describe the change.

(b)

To determine

Whether the graph for the parametric equations $x=t+1$ and $y=t^2$ change or remains the same as the graph of the parametric equations $x=t$ and $y=t^2$ as shown below. If it changes, describe how the change.

(c)

To determine

Whether the graph for the parametric equations $x=t$ and $y=t^2+1$ changes or remains the same as the graph for the parametric equations $x=t$ and $y=t^2$ as shown below. If it changes, describe the change.