Function Transformations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function transformation?
Back
A function transformation refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.
Tags
CCSS.HSF.BF.B.3
2.
FLASHCARD QUESTION
Front
What does the transformation t(x) = f(x) - 1 represent?
Back
The graph of the function f(x) is shifted down by 1 unit.
Tags
CCSS.HSF.BF.B.3
3.
FLASHCARD QUESTION
Front
What does the transformation m(x) = f(x + 1) represent?
Back
The graph of the function f(x) is shifted left by 1 unit.
Tags
CCSS.HSF.BF.B.3
4.
FLASHCARD QUESTION
Front
Given f(x) = (x-3)² + 5, what transformations occurred?
Back
The graph of the function is shifted right by 3 units and up by 5 units.
5.
FLASHCARD QUESTION
Front
What does the transformation k(x) = f(x) - 9 represent?
Back
The graph of the function f(x) is shifted down by 9 units.
6.
FLASHCARD QUESTION
Front
What is the parent function of a linear function?
Back
The parent function of a linear function is f(x) = x.
7.
FLASHCARD QUESTION
Front
What is a vertical stretch in function transformations?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.
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