Carmen made a function machine. The inner workings of the machine are visible in the diagram at right. What will the output be in each of the following cases?

1. If $2$ is dropped in?

   Step (a):

   Substitute $2$ for every $x$ (into ($x - 1$)$^2+ 2$).
   ($2 - 1$)$^2+ 2$

   Answer (a):

   $3$

2. If $- 4$ is dropped in?

   Hint (b):

   Substitute ($-4$) for every $x$ in the expression.

3. If $-11.3$ is dropped in?

   Answer (c):

   $153.29$