What is a quadratic function?
Characteristics of Quadratics

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•
Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the shape of the graph of a quadratic function?
Back
The graph of a quadratic function is called a parabola.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on its orientation.
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, passing through the vertex.
5.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic function in standard form?
Back
The vertex can be found using the formula x = -b/(2a) for the x-coordinate, and then substituting this value back into the function to find the y-coordinate.
6.
FLASHCARD QUESTION
Front
What is the range of a quadratic function that opens upwards?
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 downwards?
Back
The range is all real numbers less than or equal to the y-coordinate of the vertex.
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