Using translation concepts, the graph that shows the function g(x) = 3|x| is graph B.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example, hence graph B is correct.
More can be learned about translation concepts at https://brainly.com/question/27950531
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