Transformations of Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
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 is the parent function of a quadratic function?
Back
The parent function of a quadratic function is f(x) = x².
3.
FLASHCARD QUESTION
Front
What transformation does f(x) = -f(x) represent?
Back
Reflection over the x-axis.
4.
FLASHCARD QUESTION
Front
What transformation does f(x) = f(-x) represent?
Back
Reflection over the y-axis.
5.
FLASHCARD QUESTION
Front
What does a vertical shrink by a factor of ⅔ mean for the function f(x)?
Back
The output values of the function are multiplied by ⅔, making the graph closer to the x-axis.
6.
FLASHCARD QUESTION
Front
What does the transformation f(x - 7) indicate?
Back
A horizontal shift of the graph 7 units to the right.
7.
FLASHCARD QUESTION
Front
What does the transformation f(x) + 4 indicate?
Back
A vertical shift of the graph 4 units upward.
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