
Transformations of Quadratic Functions 2023
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 a quadratic function?
Back
A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What is the parent function of quadratic functions?
Back
The parent function of quadratic functions is f(x) = x².
3.
FLASHCARD QUESTION
Front
What does it mean to reflect a quadratic function across the x-axis?
Back
Reflecting a quadratic function across the x-axis means that the output values (y-values) are multiplied by -1, resulting in a downward-opening parabola.
4.
FLASHCARD QUESTION
Front
What is a vertical compression in the context of quadratic functions?
Back
A vertical compression occurs when the coefficient 'a' in the function f(x) = ax² is between 0 and 1, making the parabola wider.
5.
FLASHCARD QUESTION
Front
What does a horizontal shift to the right mean for a quadratic function?
Back
A horizontal shift to the right means that the function is transformed to f(x) = (x - h)², where h is a positive number.
6.
FLASHCARD QUESTION
Front
What does a vertical shift up mean for a quadratic function?
Back
A vertical shift up means that a constant is added to the function, resulting in f(x) = x² + k, where k is a positive number.
7.
FLASHCARD QUESTION
Front
How does the value of 'a' affect the graph of a quadratic function?
Back
The value of 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if 0 < |a| < 1).
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