Question

Which function is a translation of the parent absolute value function?

A. f(x)=2|x|
B. f(x)=|x+6|
C. f(x)= |x|
D. f(x)= -4|x|

Answer 1

Option B is correct that is translation of the parent absolute function.

Explanation:

Translation is shifting the graph left or right without changing its shape and without change its axis.

In option A it is the stretch of parent absolute function

f(x)=2|x| is not the translation

Hence, incorrect

In option B it is the translation function is shifting 6 units left

Hence, Option B is correct.

In Option C it is the parent absolute function hence, no translation.

Hence, incorrect.

In option D it is the stretch again hence not the translation

Hence, incorrect.

Therefore, Option B is correct.

Answer 2

The correct answer is B