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for f(x) = 2|x+3| – 5, name the type of function and describe each of the three transformations from the parent function f(x) = |x|.
explain and show your work in your own words.

There are three transformation i.e. vertically stretch, downward and towards left.            

Step-by-step explanation:  

Given : Parent function  and transformed function  

To find : Name the type of function and describe each of the three transformations?

Solution :

Parent function  get transformed into  

The transformations are as follow :

1) The function is multiplied by 2 which means there is a transformation vertically by a stretch factor '2'.

2) The function is subtracted by 5 which means there is a transformation downward by a factor '5'.

3) The function inside x value get added by 3 which means there is a transformation left by a factor '3'.

Therefore, There are three transformation i.e. vertically stretch, downward and towards left.