
Math 2 Semester 1 Final Review
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic function?
Back
The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
2.
FLASHCARD QUESTION
Front
How do you determine the direction of a parabola from its equation?
Back
If the coefficient 'a' in the equation f(x) = a(x - h)² + k is positive, the parabola opens upwards. If 'a' is negative, it opens downwards.
3.
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.
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).
5.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation indicate?
Back
The discriminant, given by b² - 4ac, indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.
6.
FLASHCARD QUESTION
Front
What is the relationship between the roots and the coefficients of a quadratic equation?
Back
For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.
7.
FLASHCARD QUESTION
Front
What is an imaginary number?
Back
An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i = √(-1).
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