Is this your given function? f(x) = 3x2 -13x + 4x2-14x + 8?? If this is the equation, when simplified, this is just a quadratic function.
You can get the x-intercept by substituting y=0, solve for x. And you can solve for y-intercept by substitution x=0. (in other words, the constant number = 8).
This does not have vertical asymptotes.