What is the standard form of a quadratic equation?

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Mathematics
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Professional Development
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1.
FLASHCARD QUESTION
Front
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What are the roots of the quadratic equation q² + 14q + 48?
Back
The roots of the quadratic equation q² + 14q + 48 are q = -6 and q = -8.
3.
FLASHCARD QUESTION
Front
How do you find the roots of a quadratic equation using factoring?
Back
To find the roots using factoring, express the quadratic in the form (q - r1)(q - r2) = 0, where r1 and r2 are the roots.
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is q = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.
5.
FLASHCARD QUESTION
Front
What does the discriminant of a quadratic equation tell us?
Back
The discriminant (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 vertex of a parabola?
Back
The vertex of a parabola is the highest or lowest point on the graph, found at the point (h, k) in the vertex form y = a(q - h)² + k.
7.
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 images, given by the formula x = -b/(2a).
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