
Review: Linear Transformations
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 linear transformation?
Back
A linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication.
2.
FLASHCARD QUESTION
Front
What is the parent function of linear equations?
Back
The parent function of linear equations is f(x) = x.
3.
FLASHCARD QUESTION
Front
How does the graph of f(x) = 3x + 5 differ from its parent function?
Back
The graph is steeper due to the coefficient 3 and is shifted up 5 units.
4.
FLASHCARD QUESTION
Front
What does it mean to shift a graph down by 6 units?
Back
It means that every point on the graph of the function is moved down 6 units on the y-axis.
5.
FLASHCARD QUESTION
Front
What is the effect of multiplying a function by a negative number?
Back
It reflects the graph of the function across the x-axis.
6.
FLASHCARD QUESTION
Front
What does the transformation g(x) = f(x) + 3 represent?
Back
It represents a vertical shift of the graph of f(x) upwards by 3 units.
7.
FLASHCARD QUESTION
Front
What is the result of the transformation g(x) = -f(x) + 2?
Back
It reflects the graph of f(x) across the x-axis and shifts it up 2 units.
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