Question

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

A. y = |x| translated 2 units to the left and 7 units down
B. y = |x| translated 7 units to the right and 7 units down
C. y = |x| translated 2 units to the right and 7 units up
D. y = |x| translated 7 units to the left and 2 units down

Answer 1

D.  Subtracting from x moves the graph right and adding to x moves the graph to the left.  

Answer 2

option-D

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