Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

Rewrite the function by completing the square: g(x) = 9x² − 36x = 9(x − 2)² − 36. The −36 outside the squared term shifts the graph down 36 units, so choice C is correct. The graph is also shifted right 2 units and made narrower, but those transformations are not listed as choices.

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