Writing Transformations of Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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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. For example, if f(x) is shifted up by 3, the new function is f(x) + 3.
2.
FLASHCARD QUESTION
Front
What does a horizontal shift do to a function?
Back
A horizontal shift moves the graph of a function left or right. For example, f(x + 2) shifts the graph 2 units to the left.
3.
FLASHCARD QUESTION
Front
Define 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. For example, if f(x) is stretched by a factor of 2, the new function is 2f(x).
4.
FLASHCARD QUESTION
Front
What is a vertical shrink in function transformations?
Back
A vertical shrink occurs when the output values of a function are multiplied by a factor between 0 and 1, making the graph shorter. For example, if f(x) is shrunk by a factor of 0.5, the new function is 0.5f(x).
5.
FLASHCARD QUESTION
Front
Explain what a reflection across the x-axis means.
Back
A reflection across the x-axis flips the graph of a function over the x-axis. For example, if f(x) is reflected, the new function is -f(x).
6.
FLASHCARD QUESTION
Front
What does a reflection across the y-axis entail?
Back
A reflection across the y-axis flips the graph of a function over the y-axis. For example, if f(x) is reflected, the new function is f(-x).
7.
FLASHCARD QUESTION
Front
Describe the transformation represented by g(x) = f(x - 3).
Back
This represents a horizontal shift of the function f(x) to the right by 3 units.
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