For the graph $y = \sqrt{x}$ the normal parametric equations would $x = t^2$ and $y = |t|$. However, the direction for that graph would be going from infinity to zero when $t \leq 0$ and zero to infinity when $t \geq 0$. I want that graph to go from zero to infinity when $t\leq 0$ and infinity to zero when $t \geq 0$. How do I reverse the direction of the parametric equations $x = t^2$ and $y = |t|$?
$\begingroup$
$\endgroup$
4
-
$\begingroup$ "However, the direction for that graph would be going from infinity to zero when $t\le0$". How do you figure that? $\lim_{t\to0}y=0$, and $\lim_{t\to-\infty^+}y=\infty$. $\endgroup$– rurouniwallaceJul 31, 2013 at 23:03
-
$\begingroup$ If t = -10, then x = 100 and y = 10, but when t = 0, x = 0 and y = 0. $\endgroup$– user88528Jul 31, 2013 at 23:09
-
$\begingroup$ So in other words, you want $y=\infty$ when $t=0$? $\endgroup$– rurouniwallaceJul 31, 2013 at 23:22
-
$\begingroup$ I don't think you expressed your idea the right way. $\endgroup$– user65203May 30, 2016 at 22:41
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
Reciprocals might meet your needs, so try $x = t^{-2}$ and $y = \left|t^{-1}\right|$ and consider what this might mean (if anything) for $t=0$.
