ANSWER
7 units left.
EXPLANATION
The parent function is
[tex]y = |x| [/tex]
The transformation
[tex]y = |x + a| [/tex]
shifts the graph of the function, a units to the left.
Therefore the transformation that describes how to translate the graph of
y=|x| to obtain y=|x+7| is 7 units left.
The third choice is correct
Answer: The correct option is
(C) 7 units left.
Step-by-step explanation: We are given to select the correct description of the translation of graph y = |x| to obtain the graph of y = |x + 7|.
We know that
if the parent absolute function y = |x| is shifted a units to the left, then the new function is written as
[tex]y=|x+a|.[/tex]
The given translated function is y = |x + 7|.
It describes that the function y = |x| is shifted 7 units to the left.
Thus, the correct description is
7 units left.
Option (C) is CORRECT.
