I've reached a standstill on my math homework, can someone explain how to do this? I'll post one of my questions and if possible can you show me the graph and how you would reach that point? I'd appreciate it. Also can you explain what each part of the equation means?

$\displaystyle f(x)=3-|x-2|$

What would it change if that $\displaystyle 3$ was a fraction such as $\displaystyle 1/2$?

What about if there was a number after it being added? Subtracted?

Okay that answers all my basic questions. Thanks for your help!