Hello, uniquereason81!
[1] gives us three points: . 0,2),\2,0)" alt="(2,0),\0,2),\2,0)" />
[2] tells that the tangents are horizontal at those three points Code:
2
=o=



 =o=    +    =o=  
2  2

[3] tells us that the curve is uphill on [2.0]
[4] says it is downhill everywhere else. Code:

*
/  \
\ /  \
\ /  \
 *    +    * 
2  2 \
 \

[5] tells us the curve is concave up to the left of 1, and on [1,2] Code:

* *
/  \
* /  *
* *  *
  * +  +  + * 
2 1  1 2\
 \

[6] says the curve is concave down everywhere else. Code:

* *
*  *
* *  *
* *  *
  * +  +  + *   
2 1  1 2 *
 *
 *

There!