The function g (x) = - x^2 + 16x - 44 written in vertex form is g (x) = - (x - 8) ^2 + 20. Which is one of the transformations applied to the graph of f (x) = x^2 to change it into the graph of g (x) = - x^2 + 16x - 44?
a. The graph of f (x) = x^2 is widened
b. The graph of f (x) = x^2 is shifted left 8 units
c. The graph of f (x) = x^2 is shifted down 44 units
d. The graph of f (x) = x^2 is reflected over the x-axis
d. The graph of f (x) = x^2
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