What kind of transformation converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1?

Question

What kind of transformation converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1?
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Solution 1

The transformation that converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1 involves two steps:

  1. Horizontal Shift: The graph is shifted to the right by 1 unit. This is indicated by the change in the expression inside the absolute value from (x-3) in f(x) to (x-4) in g(x).

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