Write an equation for the transformation of f(x)=|x| as shown in the figure, which passes (-2, 1) and are piecewise.

Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: Write an equation for the transformation of f(x)=|x| as shown in the figure, which passes (-2, 1) and are piecewise.

Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: Write an equation for the transformation of f(x)=|x| as shown in the figure, which passes (-2, 1) and are piecewise.
