Transformations of Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a transformation of a function?
Back
A transformation of a function is an operation that alters the position, size, or shape of its graph.
2.
FLASHCARD QUESTION
Front
What does a vertical stretch by a factor of k do to the function f(x)?
Back
It multiplies the output of the function by k, making the graph taller.
3.
FLASHCARD QUESTION
Front
What does a horizontal shrink by a factor of k do to the function f(x)?
Back
It compresses the graph horizontally, making it narrower by a factor of k.
4.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a function, such as f(x) + c?
Back
It shifts the graph vertically by c units; if c is positive, it shifts up, and if negative, it shifts down.
5.
FLASHCARD QUESTION
Front
What is the effect of subtracting a constant from the input of a function, such as f(x - c)?
Back
It shifts the graph horizontally to the right by c units.
6.
FLASHCARD QUESTION
Front
What does the transformation f(-x) represent?
Back
It reflects the graph of f(x) across the y-axis.
7.
FLASHCARD QUESTION
Front
What does the transformation -f(x) represent?
Back
It reflects the graph of f(x) across the x-axis.
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