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 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 y = ax² + bx + c.
3.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.
4.
FLASHCARD QUESTION
Front
How do you find the vertex of a quadratic equation in standard form?
Back
The vertex can be found using the formula x = -b/(2a) to find the x-coordinate, and then substituting this value back into the equation to find the y-coordinate.
5.
FLASHCARD QUESTION
Front
What are the zeroes of a quadratic equation?
Back
The zeroes (or roots) of a quadratic equation are the values of x that make the equation equal to zero.
6.
FLASHCARD QUESTION
Front
What is the factored form of a quadratic equation?
Back
The factored form of a quadratic equation is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the roots of the equation.
7.
FLASHCARD QUESTION
Front
What does it mean for a parabola to open upwards?
Back
A parabola opens upwards if the coefficient 'a' in the equation y = ax² + bx + c is positive, indicating that the vertex is a minimum point.
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