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Answer:
g(x) = ( x - 1 ) - 3
Step-by-step explanation:
The standard form of the absolute function is
y = a | x - h | + k
where (h, k ) are the coordinates of the vertex and a is the slope
Here (h, k ) = (1, - 3 ) , a = 1 , then
g(x) = (x - 1 ) - 3