Quadratic Formula

Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Quadratic Formula?
Back
The Quadratic Formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What does 'a' represent in a quadratic equation?
Back
In a quadratic equation ax² + bx + c = 0, 'a' represents the coefficient of x² and determines the direction of the parabola (upward if a > 0, downward if a < 0).
Tags
CCSS.HSF-IF.C.7A
3.
FLASHCARD QUESTION
Front
What does 'b' represent in a quadratic equation?
Back
In a quadratic equation ax² + bx + c = 0, 'b' is the coefficient of x and affects the position of the vertex of the parabola along the x-axis.
4.
FLASHCARD QUESTION
Front
What does 'c' represent in a quadratic equation?
Back
In a quadratic equation ax² + bx + c = 0, 'c' is the constant term and represents the y-intercept of the parabola.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How do you determine the discriminant of a quadratic equation?
Back
The discriminant is calculated using the formula D = b² - 4ac. It helps determine the nature of the roots of the quadratic equation.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What does a positive discriminant indicate?
Back
A positive discriminant (D > 0) indicates that the quadratic equation has two distinct real roots.
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
What does a zero discriminant indicate?
Back
A zero discriminant (D = 0) indicates that the quadratic equation has exactly one real root (a repeated root).
Tags
CCSS.HSA-REI.B.4B
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