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:

A similar question is given at

this might get deleted, sorry. it has to be an actual question. if you really wanted to give someone free points, ask a question like "why does the sky look blue, and the sun is yellow to our eyes? "

step-by-step explanation: