Linear Transformations
Flashcard
•
Mathematics
•
8th 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 does it mean to vertically translate a graph?
Back
To vertically translate a graph means to shift it up or down along the y-axis without changing its shape.
3.
FLASHCARD QUESTION
Front
What is the effect of replacing f(x) with f(x) + k, where k is a constant?
Back
This transformation results in a vertical translation of the graph of f(x) by k units.
4.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) when it is multiplied by a factor greater than 1?
Back
The graph becomes steeper, as it stretches vertically.
5.
FLASHCARD QUESTION
Front
What is the parent function of linear equations?
Back
The parent function of linear equations is f(x) = x, which is a straight line through the origin with a slope of 1.
6.
FLASHCARD QUESTION
Front
How does a horizontal translation affect the graph of a function?
Back
A horizontal translation shifts the graph left or right along the x-axis.
7.
FLASHCARD QUESTION
Front
What is the effect of a negative coefficient in front of f(x)?
Back
A negative coefficient reflects the graph of f(x) across the x-axis.
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