If the graph of y=|x| is translated so that the point (1,1) is moved to (4,1) what is the equation of the new graph?

This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:

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When a function f(x) is translated a units to the left, we get f(x - a).

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In this question:

The original function is

Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.

Thus, the new equation is:

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