Use f(x)=x^3-2x^2+x and g(x)=3f(x+1)-2 to do the following:

a) Obtain a graph of f(x) using your graphing calculator
Include the graph in your work. Explain your
reasoning when determining the window you used to graph the function.

b) List the transformations of f(x) to obtain g(x).

c) Simplify g(x) using algebraically.

d) Determine the average rate of change between (1,g(1)) an (2,g(2)). Show your work.

Question

Use f(x)=x^3-2x^2+x and g(x)=3f(x+1)-2 to do the following:

a) Obtain a graph of f(x) using your graphing calculator 
Include the graph in your work. Explain your 
reasoning when determining the window you used to graph the function.

b) List the transformations of f(x) to obtain g(x).

c) Simplify g(x) using algebraically.

d) Determine the average rate of change between (1,g(1)) an (2,g(2)). Show your work.

wolf1728 · Answer

Well, this graph gives you a good start: