Chapter 8.6, Problem 14E

(a)

To determine

To graph: The plane curve $x=2t-1,y=t^2+2$ for t in $\left(-\infty ,\infty \right)$.

(b)

To determine

To calculate: The rectangular equation for the plane curve $x=2t-1,y=t^2+2\text{ for }t\text{ in }\left(-\infty ,\infty \right)$.