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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|

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## Answers ( )

Type of function: Absolute value function

Transformation 1: Stretch vertically by a factor of 2

Transformation 2: Translate left by 3 units

Transformation 3: Translate down by 5 units

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

Step-by-step explanation:Given :Parent function and transformed functionTo 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 transformationvertically by a stretch factor ‘2’.2)The function is subtracted by 5 which means there is a transformationdownward by a factor ‘5’.3)The function inside x value get added by 3 which means there is a transformationleft by a factor ‘3’.Therefore, There are three transformation i.e. vertically stretch, downward and towards left.