write a rule for g(x)=-1/2 f(x) when f(x)=2x^3-2x^2+6. Then describe the graph of g as a transformation of the graph of f.

Answer 1

g(x) = -x³ + x² - 3

g(x) is a reflection of f(x) across the x-axis combined with a vertical shrink (dilation) by a factor of 1/2.