Function Transformations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a horizontal shift in function transformations?
Back
A horizontal shift occurs when the function is translated left or right on the graph. For example, g(x) = f(x - c) shifts the graph of f(x) to the right by c units, while g(x) = f(x + c) shifts it to the left by c units.
2.
FLASHCARD QUESTION
Front
What does g(x) = f(x - 7) represent?
Back
This represents a horizontal shift of the function f(x) to the right by 7 units.
3.
FLASHCARD QUESTION
Front
What is a vertical shift in function transformations?
Back
A vertical shift occurs when the function is translated up or down on the graph. For example, g(x) = f(x) + c shifts the graph of f(x) up by c units, while g(x) = f(x) - c shifts it down by c units.
4.
FLASHCARD QUESTION
Front
What does g(x) = f(x) + 2 represent?
Back
This represents a vertical shift of the function f(x) up by 2 units.
5.
FLASHCARD QUESTION
Front
What is a reflection in function transformations?
Back
A reflection occurs when the graph of a function is flipped over a specific axis. For example, g(x) = -f(x) reflects the graph over the x-axis, while g(x) = f(-x) reflects it over the y-axis.
6.
FLASHCARD QUESTION
Front
What does g(x) = -f(x + 6) - 10 represent?
Back
This represents a reflection over the x-axis, a horizontal shift left by 6 units, and a vertical shift down by 10 units.
7.
FLASHCARD QUESTION
Front
What is a vertical stretch in function transformations?
Back
A vertical stretch occurs when the graph of a function is stretched away from the x-axis. For example, g(x) = k*f(x) where k > 1 stretches the graph vertically.
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