Question 1204827
As you can see, the function on the graph is a hyperbola, and have two asymptotes.

The reciprocal of a linear function has two asymptotes: one vertical, and one horizontal. 

So, this is the graph of a reciprocal function of a linear function.


The vertical asymptote  occurs for the value of {{{x}}} that causes the denominator to equal zero.

in your case we see from the graph that vertical asymptote is at {{{x=2}}}, horizontal asymptote is at {{{y=0}}}


the equation of the reciprocal function is:

{{{f(x)=1/(x-2)}}}


{{{drawing( 600, 600, -5, 5, -5, 5, green(line(2,-5,2,5)),
 graph( 600, 600, -5, 5, -5, 5, 1/(x-2),0.05)) }}}


your function is reciprocal of a linear function {{{f(x)=x-2}}}