Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 373: 6

vertical asymptote $x=-2$. horizontal asymptote $y=-4$.

Step 1. Rewrite the equation as $y=\frac{1-4(x+2)^2}{(x+2)^2}=\frac{-4x^2-16x-15}{(x+2)^2}$. Step 2. We can identify its vertical asymptote as $x=-2$. Step 3. We can identify its horizontal asymptote as $y=-4$.