This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:
[tex]y = |x - 3|[/tex]
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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 [tex]y = |x|[/tex]
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:
[tex]y = g(x) = f(x - 3) = |x - 3|[/tex]
A similar question is given at https://brainly.com/question/23602866
