1-2 Transformations of Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical shift in function transformations?
Back
A vertical shift moves the graph of a function up or down without changing its shape.
2.
FLASHCARD QUESTION
Front
How does the equation g(x) = f(x) + k affect the graph of f(x)?
Back
It shifts the graph of f(x) vertically by k units; if k is positive, it shifts up, and if k is negative, it shifts down.
3.
FLASHCARD QUESTION
Front
What is a horizontal shift in function transformations?
Back
A horizontal shift moves the graph of a function left or right without changing its shape.
4.
FLASHCARD QUESTION
Front
How does the equation g(x) = f(x - h) affect the graph of f(x)?
Back
It shifts the graph of f(x) horizontally by h units; if h is positive, it shifts right, and if h is negative, it shifts left.
5.
FLASHCARD QUESTION
Front
What does a vertical stretch of a function 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.
6.
FLASHCARD QUESTION
Front
How does the equation g(x) = af(x) affect the graph of f(x) when a > 1?
Back
It vertically stretches the graph of f(x) by a factor of a.
7.
FLASHCARD QUESTION
Front
What does a vertical compression of a function 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.
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