Unit 13 - Linear Transformations

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the linear parent function?
Back
y = x
2.
FLASHCARD QUESTION
Front
If the linear function f(x) = x is transformed to g(x) = f(x) - 6, what type of transformation occurs?
Back
g(x) is shifted down 6 units.
3.
FLASHCARD QUESTION
Front
Describe the transformation from f(x) to g(x) if g(x) is a vertical translation 2 units up of f(x).
Back
The graph of g is a vertical translation 2 units up of the graph of f.
4.
FLASHCARD QUESTION
Front
What happens to the graph of f(x) if it is reflected over the x-axis?
Back
The graph of g is a reflection of the graph of f.
5.
FLASHCARD QUESTION
Front
If the graph of the parent function f(x) = x is shifted 7 units down, what is the new equation?
Back
f(x) = x - 7.
6.
FLASHCARD QUESTION
Front
What is a vertical translation in the context of linear transformations?
Back
A vertical translation moves the graph up or down without changing its shape.
7.
FLASHCARD QUESTION
Front
What does it mean to reflect a graph over the x-axis?
Back
Reflecting a graph over the x-axis means that for every point (x, y) on the graph, there is a corresponding point (x, -y).
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