Hello, Stroodle!
Graph: .$\displaystyle f(x)\:=\:x+3 +2$ We know what: $\displaystyle f(x) \:=\:x$ looks like. Code:

\  /
\  /
\  /
\/
      +      


Then: .$\displaystyle f(x) \:=\:x\:{\color{red}+\:3}\:$ moves the graph 3 units to the left. Code:
\ / 
\ / 
\ / 
\ / 
   *   +      
3 

Then: .$\displaystyle f(x)\:=\:{\color{red}}x+3$ inverts the graph vertically. Code:


3 
   *   +      
/ \ 
/ \ 
/ \ 
/ \ 

Finally, $\displaystyle f(x) \:=\:x+3 \:{\color{red}+ 2}$ moves the graph up 2 units. Code:

(3,2) 
* 
/ \ 
   /  \  +      
/ \ 
/ \ 

There!