Quadratic Functions and Their Properties

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•
Mathematics
•
9th - 12th Grade
•
Hard
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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 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 parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
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 does it mean for a quadratic function to be factored?
Back
Factoring a quadratic function means expressing it as a product of two binomials, such as f(x) = (x - p)(x - q), where p and q are the roots of the function.
7.
FLASHCARD QUESTION
Front
What are the roots of a quadratic function?
Back
The roots of a quadratic function are the values of x for which f(x) = 0, also known as the x-intercepts of the graph.
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