What kind of graph is this?

[tricolor]

here's the equation:

 

[Cubist]

Search for, "rectangular hyperbola"

 

[Steven G]

I suspect that Cubist is correct in what he called the function.

This function is just a shift of the function f(x) = 1/x

 

[lookagain]

This function is just a shift of the function f(x) = 1/x

It is not just a shift. It also has a vertical stretch factor of 2. The shape of the
original graph is changed with a 2 in the numerator versus a 1 being there.