A piecewise function is represented by the graph below.

The graph of a function is shown.





On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

On a coordinate plane, an absolute value graph has a vertex at (1, 3).

Which function has an axis of symmetry of x = −2?
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