Quadratic Formula and Error Analysis

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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16 questions
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1.
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.
2.
FLASHCARD QUESTION
Front
True or False: The quadratic formula can be used for any quadratic equation regardless of its form.
Back
True
Tags
CCSS.HSA-REI.B.4B
3.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What does the discriminant (b² - 4ac) tell us about a quadratic equation?
Back
The discriminant determines the nature of the roots: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
True or False: A quadratic equation can have at most two real solutions.
Back
True
6.
FLASHCARD QUESTION
Front
What is the vertex of a parabola represented by a quadratic equation?
Back
The vertex is the highest or lowest point of the parabola, found at the point (h, k) where h = -b/(2a) and k = f(h).
7.
FLASHCARD QUESTION
Front
What is the axis of symmetry in a quadratic function?
Back
The axis of symmetry is the vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).
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