Question

what is the equation of the horizontal asymptote of $y = \frac{9}{x + 8} - 6$?

Explanation:

Step1: Recall Horizontal Asymptote Rule

For a rational function of the form \( y=\frac{a}{x - h}+k \), the horizontal asymptote is \( y = k \).

Step2: Identify \( k \) in the Given Function

The given function is \( y=\frac{9}{x + 8}-6 \), which can be written as \( y=\frac{9}{x-(-8)}+(-6) \). Here, \( k=-6 \).

Answer:

\( y=-6 \)