To find the x-intercepts of the quadratic function \( f(x) = (x + 6)(x - 3) \), we need to set \( f(x) = 0 \) and solve for \( x \):
\[ (x + 6)(x - 3) = 0 \]
This equation is satisfied when either factor is equal to zero:
- \( x + 6 = 0 \) → \( x = -6 \)
- \( x - 3 = 0 \) → \( x = 3 \)
Thus, the x-intercepts are at the points \((-6, 0)\) and \((3, 0)\).
Among the provided options, the point that is an x-intercept is:
\[ \boxed{(-6, 0)} \]