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

##### 1 Answer

The vertical asymptote is

#### Explanation:

**Vertical Asymptote** :

Find the value of x that makes the denominator equal zero.

**Horizontal Asymptote** :

Compare the degree of the numerator and denominator. The degree is given by the greatest exponent.

*If they are the same, the HA is the leading coefficient of the numerator divided by the leading coefficient of the denominator.
*If the degree of the denominator is larger, the HA is

*If the degree of the numerator is larger, there is a slant asymptote.

In this problem, the degree of both the numerator and the denominator is

**Slant Asymptote** :

This function has no slant asymptote because the degree of the numerator is not greater than the degree of the denominator.