Algebra 1: Quadratics Flashcards

Study Notes

Quadratics Study Notes

Axis of Symmetry: A vertical line that splits a parabola into two mirror-image halves.
Completing the Square: A technique for converting a quadratic expression into a perfect square trinomial, simplifying the process of solving quadratic equations.
Discriminant: The part of the quadratic formula located under the square root sign, determining the nature and number of the roots.
Maximum: Refers to the highest value a quadratic function can attain, occurring at the vertex for a downward-opening parabola.
Minimum: The lowest value a quadratic function can reach, occurring at the vertex for an upward-opening parabola.
Parabola: The characteristic U-shaped graph generated by a quadratic function, representing all possible outputs for a given input.
Quadratic Equation: Formed by equating a quadratic polynomial to zero, typically represented as ax² + bx + c = 0.
Quadratic Formula: A mathematical formula used to find the roots of any quadratic equation: x = (-b ± √(b² - 4ac)) / 2a.
Quadratic Function: A specific type of function that expresses a quadratic polynomial in terms of f(x), showcasing its relationship with variable x.
Root of an Equation: The solutions to a quadratic equation, representing the values of x where the function intersects the x-axis.
Vertex: The point on a parabola where it changes direction, which is either the maximum or minimum of the function depending on its orientation.

Description

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.