Questions and Answers
What is the axis of symmetry?
What is completing the square?
A process used to form a perfect square trinomial.
What is the discriminant?
The expression within the radical sign of the quadratic formula.
What does maximum refer to in the context of quadratics?
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What does minimum refer to in the context of quadratics?
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What is a parabola?
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What is a quadratic equation?
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What is the quadratic formula?
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What is a quadratic function?
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What is the root of an equation?
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What is a vertex in a vertical parabola?
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Study Notes
Quadratics Study Notes
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Axis of Symmetry: A vertical line that splits a parabola into two mirror-image halves.
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Completing the Square: A technique for converting a quadratic expression into a perfect square trinomial, simplifying the process of solving quadratic equations.
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Discriminant: The part of the quadratic formula located under the square root sign, determining the nature and number of the roots.
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Maximum: Refers to the highest value a quadratic function can attain, occurring at the vertex for a downward-opening parabola.
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Minimum: The lowest value a quadratic function can reach, occurring at the vertex for an upward-opening parabola.
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Parabola: The characteristic U-shaped graph generated by a quadratic function, representing all possible outputs for a given input.
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Quadratic Equation: Formed by equating a quadratic polynomial to zero, typically represented as ax² + bx + c = 0.
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Quadratic Formula: A mathematical formula used to find the roots of any quadratic equation: x = (-b ± √(b² - 4ac)) / 2a.
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Quadratic Function: A specific type of function that expresses a quadratic polynomial in terms of f(x), showcasing its relationship with variable x.
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Root of an Equation: The solutions to a quadratic equation, representing the values of x where the function intersects the x-axis.
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Vertex: The point on a parabola where it changes direction, which is either the maximum or minimum of the function depending on its orientation.
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Test your understanding of quadratic concepts with these flashcards. Each card includes a key term and its definition, covering essential vocabulary in Algebra 1. Perfect for review and reinforcement of quadratic principles.
