I don't really understand your question but generally,horizontal asymptopes are found on graphs that contains a ratio of x for example
[tex]y = \frac{ {x}^{2} }{ {x}^{3} + 1} [/tex]
at which HA can be found by dividing the power of x of highest power in the numerator and x of highest power in denominator. VA is usually found in fractions where denominator has an X. So VA=(value of x which will cause the denominator to have a value of 0) and finally OA is usually found in Hyperbolas.
