CPM Homework Help : CALC Problem 11-11

Find all points of intersection for:

$\left\{ \begin{array} { l } { x = 2 t } \\ { y = t ^ { 2 } } \end{array} \right.$ and $\left\{ \begin{array} { l } { x = t ^ { 2 } } \\ { y = 2 t } \end{array} \right.$

Hint:

What do you notice about these sets of equations?
These are inverse functions. Where do the graphs of inverse functions intersect?

Steps:

Inverse functions intersect where $x = y$ .
Therefore, solve $2t = t^2$ .
Note: This solves for t, not the points of intersection.