Linear Transformations

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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 transformations?
Back
The parent function of linear transformations is f(x) = x.
3.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) = x when it is transformed to g(x) = f(x) - 6?
Back
The graph of g(x) is shifted down 6 units.
4.
FLASHCARD QUESTION
Front
Describe the transformation when g(x) = f(x) + 3 is applied to the parent function f(x) = x.
Back
The graph of g(x) is shifted up 3 units.
5.
FLASHCARD QUESTION
Front
What does it mean when a graph is less steep by a factor of 1/5?
Back
It means that the slope of the graph is reduced to one-fifth of its original steepness.
6.
FLASHCARD QUESTION
Front
If the graph of f(x) = x is shifted down 7 units, what is the equation of the new graph?
Back
The new graph is represented by g(x) = f(x) - 7.
7.
FLASHCARD QUESTION
Front
What is a vertical translation in the context of graph transformations?
Back
A vertical translation moves the graph up or down without changing its shape.
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