# How do you find the vertical, horizontal or slant asymptotes for f(x)=(x-4)^2/(x^2-4) ?

Jun 4, 2016

Vertical asymptotes x= 2, x= -2

Horizontal asymptote y=1

#### Explanation:

Vertical asymptotes are given by Eq ${x}^{2} - 4 = 0$ which gives x=2, x=-2

For slant/horizontal asymptotes write f(x) = $1 + \frac{20 - 8 x}{{x}^{2} - 4}$

Asymptote given by y=1 is a horizontal asymptote. There is no slant asymptote