Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 404: 35

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

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