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

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)