What is a quadratic function?
Key Features of Quadratic Functions

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Mathematics
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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 standard form of a quadratic function?
Back
The standard form of a quadratic function is f(x) = ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What is the vertex of a quadratic function?
Back
The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.
4.
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) to find the x-coordinate, and then substituting this value back into the function to find the y-coordinate.
5.
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).
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a quadratic function?
Back
The y-intercept is the point where the graph intersects the y-axis, found by evaluating f(0).
7.
FLASHCARD QUESTION
Front
What is the significance of the ordered pair (0, c) in a quadratic function?
Back
The ordered pair (0, c) represents the y-intercept of the quadratic function.
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