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Which of the following describes the translation of y = |x| to y = |x + 7| - 2

Ay = |x| translated 2 units to the left and 7 units down
By = |x| translated 7 units to the right and 7 units down
Cy = |x| translated 2 units to the right and 7 units up
Dy = |x| translated 7 units to the left and 2 units down

Verified Answer :

irspow
DSubtracting from x moves the graph right and adding to x moves the graph to the left.

Answer:

option-D

Step-by-step explanation:

We are given

parent function is

\(y=|x|\)

and our translated function is

\(y=|x+7|-2\)

We can see that there is x+7 in place of x

so, function is shifted left side by 7 units

and -2 is added  to y-value

so, it shifted downward by 2 units

so, option-D