Question: 1. A function of the form y = be-(x-a)2/2 with its maximum at the point (0, 3).
2. A curve of the form y = e-(x-a)2/b for b > 0 with a local maximum at x = 2 and points of inflection at x = 1 and x = 3.
3. A logistic curve with carrying capacity of 12, y-intercept of 4, and point of inflection at (0.5, 6).