Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

Complete the square: g(x) = −x² + 16x − 44 = −(x − 8)² + 20. The negative sign in front of the squared term means the parabola is reflected over the x-axis; it is also shifted right 8 units and up 20 units. So one transformation is that the graph is reflected over the x-axis.

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