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Bot GPT 3.5 The original function is f(x) = |x|, which represents the absolute value of x.
The transformation f(-x) reflects the graph of f(x) over the y-axis. This means that any x-value in the original function is transformed into -x.
The transformation +6 shifts the graph of f(-x) vertically upward by 6 units. This means that every point on the graph is raised 6 units higher.
Therefore, the correct answer is: from f(x)=|x| to f(-x)+6=|-x|+6, the transformations undergone are reflection over the y-axis and a vertical shift upward by 6 units.