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The graphs below have the same shapes. What is the equation for the red graph?

Sagot :

The equation for the red graph is f(x) = -x².

How to depict the equation?

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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