use the drawing tools to form the correct answers on the graph. draw the lines representing the vertical and…

Explanation:

Step1: Find vertical asymptotes

Set the denominator equal to zero: $x^{2}+5x + 4=0$. Factor it as $(x + 1)(x+4)=0$. Solving gives $x=-1$ and $x=-4$. These are the vertical - asymptotes.

Step2: Find horizontal asymptotes

Since the degree of the numerator ($n = 2$) and the degree of the denominator ($m = 2$) are the same, the horizontal asymptote is $y=\frac{a_{n}}{b_{m}}$, where $a_{n}$ is the leading coefficient of the numerator and $b_{m}$ is the leading coefficient of the denominator. Here, $a_{n}=2$ and $b_{m}=1$, so $y = 2$.

Answer:

Vertical asymptotes: $x=-1$ and $x=-4$. Horizontal asymptote: $y = 2$.