Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 404: 33

$y = (t+3)^2-1$ $x=t$ where $-\infty \lt t \lt \infty$ $y = t^2-1$ $x = t-3$ where $-\infty \lt t \lt \infty$

$y = (x+3)^2-1$ We can make one parametric representation as follows: $y = (t+3)^2-1$ $x=t$ where $-\infty \lt t \lt \infty$ We can make another parametric representation as follows: $y = t^2-1$ $t=x+3$ $x = t-3$ where $-\infty \lt t \lt \infty$