SOLUTION: How do the graphs of y = 1/x and y = 6/(x+6) compare?

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Question 710108: How do the graphs of y = 1/x and y = 6/(x+6) compare?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Two things have been done to the original graph.

The original graph is y = 1%2Fx, which has this graph:

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C1%2Fx%29

The first thing that has been done to the original graph is 
to replace the x by (x+6) which shifts the graph 6 units to the
left, giving us the graph of y = 1%2F%28x%2B6%29, which is the
green graph below

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C1%2Fx%2C1%2F%28x%2B6%29%29 

The second thing that has been done is to multiply the right 
side by 6 which stretches the graph vertically by a factor of 6,
giving us the blue graph of y = 6%2F%28x%2B6%29, which is the green 
graph stretched vertically 6 times:
 
 

Edwin