What is a quadratic function?
Quadratic Functions: Roots and Discriminant

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A quadratic function is a polynomial function of degree 2, typically expressed in the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
2.
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 the function equals zero, i.e., the points where the graph intersects the x-axis.
3.
FLASHCARD QUESTION
Front
What is the discriminant in a quadratic equation?
Back
The discriminant is the part of the quadratic formula under the square root, given by D = b² - 4ac. It determines the nature and number of roots of the quadratic equation.
4.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate?
Back
A positive discriminant indicates that the quadratic equation has two distinct real roots.
5.
FLASHCARD QUESTION
Front
What does a zero discriminant indicate?
Back
A zero discriminant indicates that the quadratic equation has exactly one real root, also known as a repeated or double root.
6.
FLASHCARD QUESTION
Front
What does a negative discriminant indicate?
Back
A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.
7.
FLASHCARD QUESTION
Front
How can you find the roots of a quadratic function using factoring?
Back
To find the roots using factoring, express the quadratic in the form (x - r1)(x - r2) = 0, where r1 and r2 are the roots, and solve for x.
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