### Home > CALC > Chapter 11 > Lesson 11.1.1 > Problem11-11

11-11.

Find all points of intersection for:

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

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

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