Answer:
D) f(x) = 4(3)^x
Step-by-step explanation:
Plug y in for f(x) and plug in the points so if they are both true in one equation then it is correct.
A)
y = 3(4)^x
36 = 3(4)^2
36 = 3(16)
This is already incorrect
B)
y = 4(3)^-x
36 = 4(3)^-2
36 = 4(1/16)
36 ≠ 1/4
This is incorrect
I'm going to skip C because I believe D is correct:
D)
y = 4(3)^x
36 = 4(3)^2
36 = 4(9)
36 = 36
Now we plug in the other points
y = 4(3)^x
12 = 4(3)^1
12 = 4(3)
12 = 12
