Characteristics of Quadratic Functions

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•
Mathematics
•
11th Grade
•
Hard
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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 written in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function determine?
Back
The 'a' value determines the direction of the parabola: if a > 0, the parabola opens upwards (minimum value); if a < 0, it opens downwards (maximum value).
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation. It represents the maximum or minimum value of the function.
4.
FLASHCARD QUESTION
Front
How do you find the axis of symmetry for a quadratic function?
Back
The axis of symmetry can be found using the formula x = -b/(2a), where a and b are the coefficients from the quadratic equation y = ax² + bx + c.
5.
FLASHCARD QUESTION
Front
What is the significance of the vertex in a quadratic function?
Back
The vertex indicates the maximum or minimum value of the function and the point where the graph changes direction.
6.
FLASHCARD QUESTION
Front
What is the maximum value of a quadratic function?
Back
The maximum value is the highest point on the graph of a quadratic function that opens downwards, occurring at the vertex.
7.
FLASHCARD QUESTION
Front
What is the minimum value of a quadratic function?
Back
The minimum value is the lowest point on the graph of a quadratic function that opens upwards, occurring at the vertex.
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