Reverse direction of parametric equation

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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 $y = |t|$?

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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 $t=0$.