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# Shift absolute value graphs

## Problem

Function g can be thought of as a translated (shifted) version of f, left parenthesis, x, right parenthesis, equals, vertical bar, x, vertical bar.
A coordinate plane. The x- and y-axes both scale by one. The graph of f is V-shaped with a minimum at zero, zero. On the left side of the minimum is a ray with a slope of negative one, and on the right side is a ray with a slope of one. The graph of g is V-shaped with a minimum at three, negative one. On the left side of the minimum is a ray with a slope of negative one, and on the right side is a ray with a slope of one.
What is the equation for g, left parenthesis, x, right parenthesis ?