Intercepts, asymptotes, sketch for quadratic over quadratic:
The x-intercept: Where the function is zero, or the numerator is zero and the denominator is non-zero:
x2 - 9 = 0, or x = 3, x = -3.
The y-intercept: Where x = 0: 
Vertical asymptote: where the denominator is zero: x2 - 4 = 0, or x = 2, x = -2.
Horizontal asymptote: The limit of the function at infinity:
We can use the Limit at Infinity for Rational Functions: 
Draw your graph, and then check it.