Can some one help plz

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.

1.5%

step-by-step explanation: