Answer:
Option D.
Step-by-step explanation:
The given parent function is
The given function is
Using the parent function, the given function can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
, it means the graph shifts 4 units left.
, it means the graph shifts 6 units down.
So, g(x) is shifted 4 units left and 6 units down from f(x).
Therefore, the correct option is D.