Transformations of Linear Functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical translation of a function?
Back
A vertical translation of a function occurs when the entire graph of the function is shifted up or down by a certain number of units.
2.
FLASHCARD QUESTION
Front
How does the equation y = f(x) + d affect the graph of f(x)?
Back
The graph of f(x) is shifted up 'd' units.
3.
FLASHCARD QUESTION
Front
What does the equation y = f(x + c) represent?
Back
The graph of f(x) is shifted left 'c' units if c is positive, and right 'c' units if c is negative.
4.
FLASHCARD QUESTION
Front
What is a reflection of a function?
Back
A reflection of a function occurs when the graph is flipped over a specific axis, such as the x-axis or y-axis.
5.
FLASHCARD QUESTION
Front
How does the equation y = -f(x) transform the graph of f(x)?
Back
The graph of f(x) is reflected over the x-axis.
6.
FLASHCARD QUESTION
Front
What does a vertical stretch of a function mean?
Back
A vertical stretch occurs when the graph of the function is pulled away from the x-axis, making it steeper.
7.
FLASHCARD QUESTION
Front
How does the equation y = af(x) affect the graph if 'a' is greater than 1?
Back
The graph of f(x) is vertically stretched by a factor of 'a'.
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