It would be B
The vertical asymptote is created when an x value entered into the denominator gives you 0 (because you can't divide by zero).
B's denominator
[tex] {x}^{2} + 2x - 3[/tex]
when factored is
[tex](x + 3)(x -1)[/tex]
that means your V.A. would be at x= -3 and x= 1.
The horizontal asymptote is found by looking at the highest exponent is the exponent on top is higher then there won't be a H.A. but a S.A. (slant asymptote). If the exponent on bottom is higher then the H.A. will always be Y=0. If the highest exponent is equal then the leading coefficients will be the H.A.
