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f(x) = |x|

g(x) is obtained by moving f(x) 3 units up and 5 units to the left.

3 units up means f(x) becomes |x| + 3

5 units to the left means f(x) becomes |x + 5|

So, combining these two transformations we get

g(x) = |x + 5| + 3

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