SOLUTION: I need to figure out how to describe the graph of the equation y= 4/x + 1. Please help.

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Question 866602: I need to figure out how to describe the graph of the equation y= 4/x + 1. Please help.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The expected description is whatever you were taught in your math class, and we do not know what that was.
Also, I am not sure if you really mean
green%28y=+4%2Fx+%2B+1%29 as you wrote,
or if you really meant
blue%28y=4%2F%28x%2B1%29%29 which should be written as y=4/(x+1).
Either function is derived from red%28y=1%2Fx%29 .
translated and dilated vertically:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C1%2Fx%2C4%2Fx+%2B+1%2C4%2F%28x%2B1%29%29

If you are studying functions and their graphs:
you would be expected to say that there is a vertical asymptote, and a horizontal asymptote.
The vertical asymptote is x=0 for green%28y=+4%2Fx+%2B+1%29 and red%28y=1%2Fx%29 ,
and it is x%2B1=0<--->x=-1 for blue%28y=4%2F%28x%2B1%29%29 .
The horizontal asymptote is y=0 for
blue%28y=4%2F%28x%2B1%29%29 and red%28y=1%2Fx%29 ,
and it is y=1 for green%28y=+4%2Fx+%2B+1%29 .
You may be expected to say more about the function, but there are many possibilities, and I may not think if every one.

If you are studying conic sections:
you may be expected to sat that
y=1%2Fx<--->xy=1 graphs as a hyperbola,
with the transverse axis along the line y=x.
The graphs of the other functions,
blue%28y=4%2F%28x%2B1%29%29 and green%28y=+4%2Fx+%2B+1%29 ,
are also hyperbolas.