Given:
The parent function is
The translated function is
To find:
The correct statement from the given options.
Solution:
The translation is defined as
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.
In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.
In the translated function, we have b=-2<0, so the graph shifts 2 units down.
The graph of
is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function
.
Therefore, the correct option is A.