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

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

$y=|x+a|.$

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.

Answer 2

ANSWER

7 units left.

EXPLANATION

The parent function is

$y = |x|$

The transformation

$y = |x + a|$

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