The graph of this equation has a vertical asymptote at t = -1 and t = -3 because the denominator t² + 4t + 3 can be factored to (t + 1)(t + 3).
On the other hand, this equation also has a horizontal asymptote at f(t) = -10 because the numerator can be factored to -10t(t - 5).
The graph of this equation is:
Above that, there is another parabolic graph that is also a graph of the equation.