Linear Transformations and Parent Function
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 the linear parent function?
Back
The linear parent function is f(x) = x, which represents a straight line through the origin with a slope of 1.
2.
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 is shifted down 6 units.
3.
FLASHCARD QUESTION
Front
What transformation occurs when f(x) = x is replaced with f(x) + 2?
Back
The graph is vertically translated up by 2 units.
4.
FLASHCARD QUESTION
Front
How does the equation y=(x-3)+5 shift from the parent function?
Back
It shifts 3 units to the right and 5 units up.
5.
FLASHCARD QUESTION
Front
Is the function f(x) = 2x + 3 linear or non-linear?
Back
Linear.
6.
FLASHCARD QUESTION
Front
What transformation occurs when g(x) = f(x + 6)?
Back
The graph is shifted left 6 units.
7.
FLASHCARD QUESTION
Front
What is a vertical translation in the context of linear functions?
Back
A vertical translation moves the graph up or down without changing its slope.
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