The correct graph to the parent function after the transformation is shown in the picture.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a parent function:
y = |x|
Applying first transformation:
Multiply by 1/3 the graph of the function will stretch
[tex]\rm y = \dfrac{1}{3} |x|[/tex]
Second transformation:
Add 1 to the function, the graph will shift upside by 1 units.
[tex]\rm y = \dfrac{1}{3} |x|+1[/tex]
Thus, the correct graph to the parent function after the transformation is shown in the picture.
Learn more about the function here:
brainly.com/question/5245372
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