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34 votes
34 votes
What is the transformation of f(x)=|x| to g(x)=-4|x-2|-1

User NotAUser
by
3.2k points

2 Answers

26 votes
26 votes
o find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function:
f
(
x
)
=
|
x
|
f
(
x
)
=
|
x
|
Horizontal Shift: Right
2
2
Units
Vertical Shift: Down
1
1
Units
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
User Steven Lu
by
3.3k points
15 votes
15 votes

Answer:

Explanation:

User Rowanu
by
2.8k points