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Sagot :

The equation of the function g(x) is g(x) = -2|x - 2| + 5

How to determine the equation of the function g(x)?

The function f(x) is given as

f(x) = 2|x - 2| - 5

The rule of the transformation is a reflection across the x-axis

This is represented as

g(x) = -f(x)

So, we have

-f(x) = -2|x - 2| + 5

Substitute g(x) = -f(x) in -f(x) = -2|x - 2| + 5

g(x) = -2|x - 2| + 5

Hence, the equation of the function g(x) is g(x) = -2|x - 2| + 5

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