Function Transformations
Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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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 a vertical shift of a function mean?
Back
A vertical shift moves the graph of a function up or down. For example, if f(x) is shifted up by 3, the new function is f(x) + 3.
3.
FLASHCARD QUESTION
Front
What does a horizontal shift of a function mean?
Back
A horizontal shift moves the graph of a function left or right. For example, if f(x) is shifted left by 2, the new function is f(x + 2).
4.
FLASHCARD QUESTION
Front
What is the effect of a negative sign in front of a function?
Back
A negative sign in front of a function reflects the graph across the x-axis. For example, if f(x) is reflected, the new function is -f(x).
5.
FLASHCARD QUESTION
Front
What does a vertical stretch mean?
Back
A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller. For example, f(x) becomes 2f(x).
6.
FLASHCARD QUESTION
Front
What does a vertical compression mean?
Back
A vertical compression occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter. For example, f(x) becomes 0.5f(x).
7.
FLASHCARD QUESTION
Front
What does a horizontal stretch mean?
Back
A horizontal stretch occurs when the input values of a function are multiplied by a factor greater than 1, making the graph wider. For example, f(x) becomes f(0.5x).
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