
Characteristics of Quadratics
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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 written in the form y = ax² + bx + c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does the coefficient 'a' determine in a quadratic function?
Back
The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.
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 whether it opens upward or downward.
4.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).
5.
FLASHCARD QUESTION
Front
What is the domain of a quadratic function?
Back
The domain of a quadratic function is all real numbers, as any real number can be input into the function.
6.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens upward?
Back
The range is all real numbers greater than or equal to the y-coordinate of the vertex.
7.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens downward?
Back
The range is all real numbers less than or equal to the y-coordinate of the vertex.
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