What is a parent function?
Parent Functions and Transformations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A parent function is the simplest form of a function in a family of functions, which retains the essential characteristics of that family.
2.
FLASHCARD QUESTION
Front
What transformation occurs when f(x) is replaced with f(x) + k?
Back
A vertical translation up by k units.
3.
FLASHCARD QUESTION
Front
What transformation occurs when f(x) is replaced with f(x - h)?
Back
A horizontal translation right by h units.
4.
FLASHCARD QUESTION
Front
What is the effect of a negative sign in front of a function, such as -f(x)?
Back
It reflects the graph across the x-axis.
5.
FLASHCARD QUESTION
Front
What is the equation of a vertical stretch of a function f(x) by a factor of a?
Back
The equation is af(x).
6.
FLASHCARD QUESTION
Front
How does the graph of y = |x| change when transformed to y = |x - h|?
Back
The graph shifts horizontally to the right by h units.
7.
FLASHCARD QUESTION
Front
What does the transformation y = f(x) + k represent?
Back
A vertical translation up by k units.
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