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Answer :

We have

[tex]f(x)=|x|[/tex]

For a shift down 8 units, we need to subtract 8 units to the function and for the shift to the right 12 units we need to subtract 12 units to the x

Therefore g(x) is

[tex]g(x)=|x-12|-8[/tex]

ANSWER

g(x)=|x-12|-8