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  • 09-10-2021
  • Mathematics
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Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 7 units and to the right 13 units.

g(x)=?

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sqdancefan
sqdancefan sqdancefan
  • 09-10-2021

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Answer:

  g(x) = |x -13| -7

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

represents a translation h units to the right and k units up. Here, we are translating 13 units to the right and -7 units up (that is, 7 units down). Then the transformed function is ...

  g(x) = f(x -13) -7

  g(x) = |x -13| -7

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