Roman C. answered • 02/04/13

Masters of Education Graduate with Mathematics Expertise

f(x) = -3 / (x - 2)^{2}

Note that is x → ±∞, then (x - 2) → ∞, so that f(x) → 0.

So the horizontal asymptote is y=0.

Note that the denominator (x - 2)^{2} is 0 at x = 2 and no other value. Also note the numerator is not 0.

Thus the only vertical asymptote is x = 2.