Answer : option B
Parent Graph f(x) = [tex] log_3(x) [/tex] is attached below
We analyze each option
A) f(x − 2)
--> x - 2 shifts the graph 2 units to the right
B) f(x + 2)
--> x + 2 shifts the graph 2 units to the left
C) f(x) − 2
--> f(x) - 2 shifts the graph 2 units down
D) f(x) + 2 --> f(x) + 2 shifts the graph 2 units up
In the graph of f(x)= [tex] log_3(x) [/tex] , the x intercept at x=1
From the graph attached in the question, the x intercept at x=-1
Its means the parent graph is shifted 2 units to the left.
Option B: f(x + 2)
--> x + 2 shifts the graph 2 units to the left
