quadratic formula
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does the 'a' value represent in a quadratic equation?
Back
The 'a' value 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 the 'b' value represent in a quadratic equation?
Back
The 'b' value is the coefficient of x and affects the position of the vertex of the parabola along the x-axis.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What does the 'c' value represent in a quadratic equation?
Back
The 'c' value is the constant term and represents the y-intercept of the quadratic function.
Tags
CCSS.HSF-IF.C.7A
5.
FLASHCARD QUESTION
Front
How do you identify the coefficients a, b, and c in the equation 4x² - 8x = 3?
Back
Rearranging the equation to standard form gives 4x² - 8x - 3 = 0, so a = 4, b = -8, c = -3.
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.
Tags
CCSS.HSA-REI.B.4B
7.
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, which determines the nature of the roots.
Tags
CCSS.HSA-REI.B.4B
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