Solving Quadratics
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
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 degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
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.
3.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (D = b² - 4ac) indicates the nature of the roots: if D > 0, there are 2 real solutions; if D = 0, there is 1 real solution; if D < 0, there are no real solutions.
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a parabola represented by a quadratic equation?
Back
The vertex (h, k) can be found using the formula h = -b/(2a) and k = f(h), where f(x) is the quadratic function.
5.
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 equation x = -b/(2a).
6.
FLASHCARD QUESTION
Front
What are the roots of a quadratic equation?
Back
The roots (or solutions) of a quadratic equation are the values of x that make the equation equal to zero.
7.
FLASHCARD QUESTION
Front
How can you solve a quadratic equation by factoring?
Back
To solve by factoring, rewrite the equation in the form (x - p)(x - q) = 0, then set each factor to zero: x - p = 0 or x - q = 0.
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