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

Answer 1

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