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.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

if x = 1, then the answer is 3.5