Question

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)

Answer 1

B. f(x) - 2

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