What is a quadratic function?
Quadratic Functions

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic function is a polynomial function of degree 2, typically 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, found at the point (h, k) in the vertex form f(x) = a(x - h)² + k.
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 h = -b/(2a) and k = f(h).
5.
FLASHCARD QUESTION
Front
What are the x-intercepts of a quadratic function?
Back
The x-intercepts are the points where the graph of the function crosses the x-axis, found by solving f(x) = 0.
6.
FLASHCARD QUESTION
Front
What does the 'a' value in a quadratic function determine?
Back
The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.
7.
FLASHCARD QUESTION
Front
What is completing the square?
Back
Completing the square is a method used to convert a quadratic equation into vertex form by adding and subtracting the same value.
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