Choice A is the correct answer.

1. Discriminant: $2^2 - 4(1)(5) = 4 - 20 = -16$.
2. Since $\Delta < 0$, there are no real roots.
3. Parabola opens upward ($a=1$).
4. It is entirely above the x-axis, so it is never less than 0.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.