parent functions and transformations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a parent function?
Back
A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear functions (y = x), quadratic functions (y = x²), and absolute value functions (y = |x|).
2.
FLASHCARD QUESTION
Front
What is the parent function of a linear function?
Back
The parent function of a linear function is y = x.
3.
FLASHCARD QUESTION
Front
What transformation occurs when a function is translated right by 3 units?
Back
The transformation can be represented as f(x) = f(x - 3).
Tags
CCSS.HSF.BF.B.3
4.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a function, such as f(x) + 2?
Back
Adding a constant to a function results in a vertical translation of the graph. In this case, the graph moves up by 2 units.
5.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic function?
Back
The parent function of a quadratic function is y = x².
6.
FLASHCARD QUESTION
Front
How does the graph of y = |x| differ from y = x?
Back
The graph of y = |x| is V-shaped and reflects all negative values of x to positive, while y = x is a straight line with a slope of 1.
7.
FLASHCARD QUESTION
Front
What transformation occurs when f(x) is replaced with -f(x)?
Back
This transformation reflects the graph across the x-axis.
Tags
CCSS.HSF.BF.B.3
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