Choice A is the correct answer. Solving for intersection with $y=0$ is equivalent to finding the x-intercepts.

1. $-x^2 + 4 = 0$.
2. $x^2 = 4$.
3. $x = \pm 2$.
4. Points: $(2, 0)$ and $(-2, 0)$.

Choice B is incorrect. Choice C is incorrect because it is the y-intercept. Choice D is incorrect.