Answer:
y - 1 = (1/2)(x - 2)^2
Step-by-step explanation:
The appropriate equation for such a parabola has the form
y - k = a(x - h)^2, where (h, k) is the vertex:
y - 1 = a(x - 2)^2. Since the y-intercept is (0, 3), we substitute 3 for y and 0 for x, obtaining:
3 - 1 = a(0 - 2)^2, or
2 = a(4). Therefore, a = 1/2, and the equation of this parabola is:
y - 1 = (1/2)(x - 2)^2
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