Transformations of Linear Functions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical translation in the context of linear functions?
Back
A vertical translation occurs when a function is shifted up or down on the graph without changing its shape. For example, f(x) + d shifts the graph up by d units, while f(x) - d shifts it down by d units.
2.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) when it is transformed to f(x) + 2?
Back
The graph of f(x) is vertically translated up by 2 units.
3.
FLASHCARD QUESTION
Front
What is a vertical stretch in linear functions?
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, transforming f(x) to 2*f(x) stretches the graph vertically by a factor of 2.
4.
FLASHCARD QUESTION
Front
How does the equation y = f(x + 7) transform the graph of f?
Back
The graph of f is shifted left by 7 units.
Tags
CCSS.HSF.BF.B.3
5.
FLASHCARD QUESTION
Front
What is the effect of replacing f(x) with 2*f(x)?
Back
This transformation results in a vertical stretch of the graph by a factor of 2.
6.
FLASHCARD QUESTION
Front
What does the equation y = f(x) - d represent?
Back
This equation represents a vertical translation down by d units.
7.
FLASHCARD QUESTION
Front
How does the transformation y = f(x) + d affect the graph?
Back
The graph of f is shifted up by d units.
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