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The graph of ( f(x) = 3(x-2)^2 + 1 ) is a transformed version of the graph of ( g(x) = x^2 ). It represents a parabola that opens upward, shifted to the right by 2 units and upward by 1 unit, resulting in the vertex at the point (2, 1). In contrast, ( g(x) ) has its vertex at the origin (0, 0). Thus, while both graphs are parabolas, their positions and orientations differ due to these transformations.

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1mo ago

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