Answer:
The correct option is A.
Step-by-step explanation:
The given functions are
It can be written as
.... (1)
The transformation is defined as
.... (2)
Where, k is vertical stretch or compression, a is horizontal shift and b is vertical shift.
If |k|>1, then the graph stretch vertically and if 0<|k|<1, then graph compressed vertically.
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.
From equation (1) and (2), we get
Here the negative means, the graph of f(x) flipped over the x-axis.
Since 0<|k|<1, therefore the graph compressed vertically.
The value of a is -3<0, so graph shifts 3 units right.
The graph of f(x) is the graph of g(x) compressed vertically, flipped over the x-axis, and shifted 3 units to the right.
Therefore the correct option is A.