Math problem need help.

Question

Apply the function transformation of g(x) = f(x - 2) + 4 to f(x) = x³ - 8. Describe the transformations and find the final form of the function after the transformation.

Answer 1

The +4 shifts the function 4 units in the positive y direction.

The -2 added to x shifts the function 2 units in the positive x direction.

After making the changes to f(x) = (x³ - 8), you will get g(x) = (x-2)³ -8 + 4 = x³ -6x² +12x -12