The equation for the red graph is f(x) = -x².
From the information given, g(x) = 4 - x².
The vertex of the point (0, 4) and (0, 0) for g(x) and f(x) respectively. The rule of the translation will be:
(x, y) = (x, y -4).
The equation of the function will be:
f(x) = g(x) - 4
f(x) = (4 - x²) - 4
f(x) = -x²
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