Which is one of the transformations applied to the graph of f of x is equal to x squared to change it into the graph of g of x is equal to negative x squared plus 16 x minus 44 ?

Complete the square: g(x) = −x² + 16x − 44 = −(x − 8)² + 20. The negative sign in front of the squared term reflects the parabola across the x-axis, so one transformation is the reflection described in choice D. The graph is also shifted right 8 units and up 20 units.

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