Answer: (A) vertical asymptote: x = 2, (B) horizontal asymptote: y = 9
Step-by-step explanation:
The vertical asymptote is the restriction on the x-value. Since the denominator cannot be equal to zero, then x - 2 ≠ 0 → x ≠ 2. So, the vertical asymptote is: x = 2
The horizontal asymptote is the restriction on the y-value. Since the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. However, there is a vertical shift of 9 units up so the horizontal asymptote is: y = 9
