# How do you find the asymptotes for #r(x) = (2x-4)/(x^2+2x+1)#?

##### 1 Answer

Feb 4, 2017

The vertical asymptote is

The horizontal asymptote is

No slant asymptote

#### Explanation:

We can factorize the denominator

Therefore,

As you cannot divide by

The vertical asymptote is

As the degree of the numerator

there is no slant asymptote.

The horizontal asymptote is

graph{(y-(2x+4)/(x+1)^2)(y)(y+100x+100)=0 [-10, 10, -5, 5]}