# How do you find the vertical, horizontal or slant asymptotes for #f(x) = (x^2) / (x-2)#?

##### 1 Answer

Dec 17, 2016

Slant: y = x + 2.

Vertical: x = 2.

#### Explanation:

By actual division,

This form reveals ths the asymptotes as follows.

y = quotient = x + 2 gives the slant asymptote.

The denominator in the remainder,

There is no horizontal asymptote.

A reorganization of the equation gives the form

with the pair of asymptotes

( y-x-2)(x-2)= 0

graph{y(x-2)-x^2=0 [-80, 80, -40, 40]}