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