solve 0=f(x)=9x^2+36x+36
factor out 9
0=9(x^2+4x+4)
what 2 numbers multly to get 4 and add to get 4
2 and 2
0=9(x+2)(x+2)
set to zero
0=x+2
x=-2
hit it once
technicall, since it has an even multiplicty, it bounces off the axis more than it intersects
so 0 times