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

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) (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
as you wrote,
or if you really meant
which should be written as y=4/(x+1).
Either function is derived from .
translated and dilated vertically:

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 for and ,
and it is <---> for .
The horizontal asymptote is for
and ,
and it is for .
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
<---> graphs as a hyperbola,
with the transverse axis along the line .
The graphs of the other functions,
and ,
are also hyperbolas.
RELATED QUESTIONS
I cannot figure this out. It states to graph the function y=f(x)=x^2. Please I need... (answered by nabla)

Please help solve. Find the slope of the line and sketch the graph. x+2y=4 . I can... (answered by Garree10,funmath)

I need to understand how to graph the following but I can' figure out how to make tow... (answered by macston)

I'm in alegebra 1 and i cant figure out how to make a function so that i can graph an... (answered by ankor@dixie-net.com)

I need to graph 3x+4y=20 I got the equation this far y=-3/4+5 I can't figure out how to (answered by mananth)

please help me. i cant figure out how to do this. thank you for your time in trying to... (answered by funmath)

Please help explain graphing inequalities! Thanks! I understand how to find out how... (answered by stanbon)

I am trying to solve a system of equations by using substitution. I can't figure out... (answered by stanbon)

I need help plotting coodinates. I cannot seem to figure out how to get the figures... (answered by solver91311)