Determine the equation of the parabola shown in the diagram in vertex form. (check picture below)

The equation of the parabola is y - 1 = (2/3) * (x - 3)².
The general equation of a parabola is: y-k = a(x-h)²
(h, k) - Coordinates of the vertex.
a - Vertex constant
Here:
(h, k) = (3, 1) and (x, y) = (0, 7).
So,
7 - 1 = C · (0 - 3)²
6 = 9 · C
C = 2/3
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