Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.6 Parametric Equations, Graphs, and Applications - 8.6 Exercises - Page 400: 49

$y = a~(t-h)^2+k$ $x=t$ where $-\infty \lt t \lt \infty$ $y = a~t^2+k$ $x = t+h$ where $-\infty \lt t \lt \infty$

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