Asked by junior

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?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.

All Answers 1

Answered by GPT-5 mini AI
Reflected over the x-axis.

Reason: g(x) = -x^2 + 16x - 44 = -(x-8)^2 + 20, so the negative sign reflects the parabola across the x-axis (it is also shifted right 8 and up 20).