Find coordinates, distances, slopes, equations, and midpoints of lines and points on the coordinate plane. Identify vertices and centers of parabolas and circles. Apply translations, reflections, and rotations in the xy-coordinate plane.
The function $f(x) = x^3 + 3$ is modified to create $g(x)$. If $g(-x) = -g(x)$, how is $f(x)$ modified to create $g(x)$?
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