What is a quadratic function?
2/3 Quadratic Characteristics in Context

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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 does the vertex of a parabola represent in a quadratic function?
Back
The vertex of a parabola is the highest or lowest point of the graph, depending on whether it opens upwards or downwards. It represents the maximum or minimum value of the quadratic function.
3.
FLASHCARD QUESTION
Front
How can you determine the maximum height of a projectile using a quadratic function?
Back
The maximum height can be found by determining the vertex of the quadratic function, which occurs at x = -b/(2a) in the standard form.
4.
FLASHCARD QUESTION
Front
What is the significance of the x-intercepts in a quadratic function?
Back
The x-intercepts (or roots) of a quadratic function are the points where the graph intersects the x-axis, indicating the values of x for which the function equals zero.
5.
FLASHCARD QUESTION
Front
What does the term 'parabola' refer to in the context of quadratic functions?
Back
A parabola is the U-shaped graph of a quadratic function, which can open upwards or downwards depending on the sign of the leading coefficient (a).
6.
FLASHCARD QUESTION
Front
How do you find the time it takes for a projectile to land using a quadratic equation?
Back
To find the time it takes for a projectile to land, set the height (y) to zero in the quadratic equation and solve for x (time).
7.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is written as y = ax² + bx + c, where a, b, and c are constants.
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