What transformation has changed the parent function f(x) = 3(2)^x to its new appearance shown in the graph below?

a. f(x) + 2
b. f(x) - 2
c. f(x +2)
d. f(x - 2)

  B.  f(x) - 2

Step-by-step explanation:

The parent function has a horizontal asymptote at y=0. The graphed function has a horizontal asymptote at y = -2, so the graph has been shifted down 2 units from the graph of the parent function.

Such a vertical shift is accomplished by subtracting 2 from each function value. The graph is of ...

  f(x) -2 . . . matches choice B

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1