Easy points should be obtained. x-intercept and y-intercept are usually simple, since we are using zero (0) to our advantage.
1) We know there is a vertical asymptote at x = -3.
2) We know, since the asymptote-causing factor is of even degree, that both sides go the same direction.
3) We know that one side is -\(\infty\), so both sides must be.
Now we get to your drawing.
Where is the numerator zero (0)? 2x+4 = 0 or x = -2
It is important to note that for x < -2, f(x) is NEGATIVE, or below the x-axis.
It is important to note that for x > -2, f(x) is POSITIVE, or above the x-axis.