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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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