Final answer:
The standard form of the equation of a parabola is used to find its equation given the focus. However, with only the focus (-2, 0), we cannot determine the full equation without additional details like the vertex or directrix.
Step-by-step explanation:
To find the equation of a parabola with a given focus, you can use the standard form of a parabola's equation and the definition of a focus. For a parabola with a vertical axis of symmetry, the standard form of the equation is (x-h)^2 = 4p(y-k), where (h, k) is the vertex of the parabola, and p is the distance from the vertex to the focus. Since the focus given is (-2, 0), we can deduce that the vertex is at (-2, k) for some k, as the vertex and focus lie on the same vertical line, and that the parabola opens upwards or downwards. Without additional information, we cannot determine the exact value of k or whether the parabola opens upwards or downwards. However, if we make an assumption, for instance, that the parabola opens upwards and the vertex is also on the x-axis, then k = 0, and the distance p would be the absolute value of the y-coordinate of the focus, which is 0 in this case. Therefore, it's not possible to provide a complete equation without more information about the vertex or directrix.
If further information was available, such as the position of the directrix or another point on the parabola, we could then determine the value of p and the complete equation of the parabola.