You actually typed:

But I'm assuming you meant this:

Horizontal Asympote: y=0 (since , but since you are in high school... if the degree of the polynomial in the denom. is higher than the numerator, the HA is y=0. If the numerical is higher, than there's no HA. If the degree are the same, then you take the leading coefficient and put it in fractional form.)

Vertical Asymptote: x=3 (this will make the equation undefined, because you let x=3, the 3/0 is undefined)