Quadratic formula
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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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).
2.
FLASHCARD QUESTION
Front
Identify the 'a' value in the quadratic equation y = ax² + bx + c.
Back
The 'a' value is the coefficient of x² in the quadratic equation.
3.
FLASHCARD QUESTION
Front
Identify the 'b' value in the quadratic equation y = ax² + bx + c.
Back
The 'b' value is the coefficient of x in the quadratic equation.
4.
FLASHCARD QUESTION
Front
Identify the 'c' value in the quadratic equation y = ax² + bx + c.
Back
The 'c' value is the constant term in the quadratic equation.
5.
FLASHCARD QUESTION
Front
What does the discriminant (b² - 4ac) tell us about a quadratic equation?
Back
The discriminant indicates the nature of the roots of the quadratic equation: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.
6.
FLASHCARD QUESTION
Front
For the equation y = 2x² - x - 3, calculate b² - 4ac.
Back
b² - 4ac = (-1)² - 4(2)(-3) = 1 + 24 = 25.
7.
FLASHCARD QUESTION
Front
What is the vertex of a parabola given by the equation y = ax² + bx + c?
Back
The vertex can be found using the formula (-b/(2a), f(-b/(2a))).
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