Chapter 9.5, Problem 77PE

To determine

To prove: The hand drawn graphs of the parametric equations $x=t+2$ and $y=t^2$, where $-2\le t\le 2$, $x=t-1$ and $y=t^2$, where $-2\le t\le 2$, $x=t$ and $y=2t$, where $-\infty \le t\le \infty$, $x=t$ and $y=-2t$, where $-\infty \le t\le \infty$ and $x=t-2$ and $y=t^2$, where $-2\le t\le 2$ are same as those plotted on the graphing calculator.