Quadratic Formula
Flashcard
•
Mathematics
•
9th 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 the 'a' value represent in a quadratic equation?
Back
In the 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 the 'b' value represent in a quadratic equation?
Back
In the 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.
Tags
CCSS.HSF-IF.C.7A
4.
FLASHCARD QUESTION
Front
What does the 'c' value represent in a quadratic equation?
Back
In the 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 identify the 'c' value in the equation y = 16x² - 8x - 24?
Back
The 'c' value is -24.
6.
FLASHCARD QUESTION
Front
How do you solve a quadratic equation using the Quadratic Formula?
Back
To solve using the Quadratic Formula, identify a, b, and c from the equation, then substitute these values into x = (-b ± √(b² - 4ac)) / (2a) to find the solutions.
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 formula under the square root, b² - 4ac. It determines the nature of the roots: if positive, there are two real solutions; if zero, one real solution; if negative, no real solutions.
Tags
CCSS.HSA-REI.B.4B
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