Answer:
There are three transformation i.e. vertically stretch, downward and towards left.
Step-by-step explanation:
Given : Parent function [tex]f(x)=|x|[/tex] and transformed function [tex]f(x)=2|x+3|-5[/tex]
To find : Name the type of function and describe each of the three transformations?
Solution :
Parent function [tex]f(x)=|x|[/tex] get transformed into [tex]f(x)=2|x+3|-5[/tex]
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.
