Name 3 non-collinear points
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The max value can be found by setting the derivative equal to 0 and solving for x, then subbing that value for x back into the original function and solving for y. 
which simplifies to 
. This derivative is equal to 0 when -4x is equal to 0. If -4x = 0, then x = 0. If we find f(0), then 
and y here is 2/3. So the max value occurs at (0, 2/3). There you go!