Question

Hey can you please help me posted picture of question

Answer 1

Comment
A minus number on the right of an equal sign (where f(x) or y or something like it is on the left of the equal sign) that is negative means that the function is going down. So any positive number in the answer is wrong if it greater than 0.

f(x) = | x | - 3 is going down.

Comment 2
Anything inside the | | which is plus goes left (not right) so you want y = |x + 8| - 3

D<<<< answer

Answer 2

Parent function is F(x) = |x|

Two transformations occur on F(x)

1) Shift 8 units left
So, the expression will be | x + 8 |

2) Shift 3 units down
So, the expression will be |x + 8| - 3

Thus,

G(x) = |x +8| - 3

So, option D is the correct answer