
Transformations of Polynomial Functions
Flashcard
•
Mathematics
•
1st Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial function?
Back
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.
2.
FLASHCARD QUESTION
Front
What is the parent function of a quadratic polynomial?
Back
The parent function of a quadratic polynomial is f(x) = x².
3.
FLASHCARD QUESTION
Front
What does it mean for a graph to narrow or widen?
Back
A graph narrows when the coefficient of the leading term is greater than 1, and widens when it is between 0 and 1.
4.
FLASHCARD QUESTION
Front
What is a vertical stretch in the context of polynomial functions?
Back
A vertical stretch occurs when the coefficient of the function is greater than 1, making the graph steeper.
5.
FLASHCARD QUESTION
Front
What is a horizontal shift in polynomial functions?
Back
A horizontal shift occurs when the input variable x is replaced by (x - h) or (x + h), shifting the graph left or right.
6.
FLASHCARD QUESTION
Front
What does a reflection over the y-axis indicate?
Back
A reflection over the y-axis indicates that the function f(x) is transformed to f(-x).
7.
FLASHCARD QUESTION
Front
How does a vertical shift affect the graph of a polynomial function?
Back
A vertical shift moves the graph up or down by adding or subtracting a constant from the function.
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