Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?

7 units up
7 units down
7 units left
7 units right

Question

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?


7 units up
7 units down
7 units left
7 units right

anonymous · Answer

the answer is "7 left" and it is easy to see
$y=|x|$ has ordered pairs like $(-2,2), (-1,1), (0,0), (1,1), (2,2)$ and so on
to get those same outputs you have to subtract $7$ from each input 
$y=|x+7|$ has ordered pairs $(-9,2), (-8,1), (-7,0), (-6,1), (-5,2)$ etc