Final answer:
To write the equation of a parabola, we need the focus and directrix, or at least the axis of symmetry. Given only the focus (-2, 2), we cannot provide a definitive equation.
Step-by-step explanation:
To determine the equation of a parabola, we need to know the coordinates of the focus and the equation of the directrix. However, in the question provided, only the focus (-2, 2) is given. Assuming we are dealing with a vertical parabola (which opens either up or down), and without the directrix, we can only write the equation in the general form (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. If the directrix was given or the axis of symmetry was known, we could determine 'p' and complete the equation. Hence, with only the focus provided, we cannot write a definitive equation of the parabola.