Solving Quadratic Equations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants, and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation.
3.
FLASHCARD QUESTION
Front
What does the discriminant (b² - 4ac) tell us?
Back
The discriminant indicates the nature of the roots of a quadratic equation: if it's positive, there are two real roots; if zero, one real root; if negative, two complex roots.
4.
FLASHCARD QUESTION
Front
How do you solve a quadratic equation by factoring?
Back
To solve by factoring, rewrite the equation in the form (px + q)(rx + s) = 0, then set each factor to zero and solve for x.
5.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of a parabola, found at the point (h, k) in the vertex form y = a(x - h)² + k.
6.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).
7.
FLASHCARD QUESTION
Front
How do you find the maximum or minimum value of a quadratic function?
Back
The maximum or minimum value occurs at the vertex, calculated using the vertex formula y = a(h)² + k.
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