What about this guy?
This means that he's going to be half as tall as normal.
( All the outputs are half as big! )
When you draw him, you go half way up!
NOTE: If the textbook you're using uses the "wider" and "narrower" approach, it means the same thing. I just don't think it make as much sense! But, they don't ask ME about these things!
TRY IT:
Graph and identify what's going on -- don't just plot points: