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Answer:
the expression of this function is:
Step-by-step explanation:
This graph corresponds to an absolute value function, which as you can see has the minimum (vertex) at the point (1, -1) on the plane, and also that goes through the origin of coordinates (0, 0)
therefore, notice that from the point (0, 0) to (1, -1) there is a slope of "-1" which is going to characterize the steepness of the x- variable that resides inside the absolute value function. since the vertex has also moved from the characteristic (0, 0) in the function:
then we have to include a horizontal shift to the right in one unit (by subtracting 1 units from x), and a vertical shift downwards one unit (by subtracting 1 from the full absolute value expression) in order to shift the vertex to the position (1, -1):