Polynomial Transformations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial transformation?
Back
A polynomial transformation refers to the process of altering the graph of a polynomial function through shifts, stretches, compressions, or reflections.
2.
FLASHCARD QUESTION
Front
How does the graph of f(x) = |x| change to g(x) = |x + 3| + 2?
Back
The graph shifts 3 units left and 2 units up.
3.
FLASHCARD QUESTION
Front
What is the effect of adding a constant to a polynomial function?
Back
Adding a constant shifts the graph vertically. If the constant is positive, the graph shifts up; if negative, it shifts down.
4.
FLASHCARD QUESTION
Front
What does it mean to shift a graph 5 units up?
Back
It means every point on the graph of the function is moved vertically upwards by 5 units.
5.
FLASHCARD QUESTION
Front
How does the equation y = (x + 4)² + 3 change when shifted 5 units up?
Back
The new equation is y = (x + 4)² + 8.
6.
FLASHCARD QUESTION
Front
What transformation occurs when changing f(x) = x² to g(x) = x² + 6?
Back
This represents a translation shifting the graph 6 units up.
7.
FLASHCARD QUESTION
Front
What does the transformation g(x) = (x + 9)² indicate about the graph of f(x) = x²?
Back
The graph is shifted left by 9 units.
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