Fundamental theorem and transformations

Question

1.) use a graphing calculator to find any x-intercepts and turning points for the function f(x)=2x^3-13x^2+24x-9

2.)apply the function transformation of g(x)=f(x-2)+4 to f(x)=x^3-8. Describe the transformation and find the final form of the function after the transformations.

Answer 1

1)

Zeros at 0.5 and 3. Local maximum at x - 4/3, Local minimum at x - 3

2)

h(x) = (x - 2)³ - 8 + 4