What is the Quadratic Formula?
Quadratic Formula

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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
What does the 'a' represent in the quadratic equation ax² + bx + c = 0?
Back
'a' is the leading coefficient, which determines the direction of the parabola (upward if a > 0, downward if a < 0).
3.
FLASHCARD QUESTION
Front
What does the 'b' represent in the quadratic equation ax² + bx + c = 0?
Back
'b' is the coefficient of the linear term, which affects the position of the vertex of the parabola along the x-axis.
4.
FLASHCARD QUESTION
Front
What does the 'c' represent in the quadratic equation ax² + bx + c = 0?
Back
'c' is the constant term, which represents the y-intercept of the parabola.
5.
FLASHCARD QUESTION
Front
How do you identify the vertex of a parabola given by the equation y = ax² + bx + c?
Back
The vertex can be found using the formula x = -b/(2a) for the x-coordinate, and then substituting this value back into the equation to find the y-coordinate.
6.
FLASHCARD QUESTION
Front
What is the discriminant in the quadratic formula?
Back
The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.
7.
FLASHCARD QUESTION
Front
Solve using the quadratic formula: x² + 4x - 40 = -8
Back
x = -8 and x = 4.
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