The Complete Quadratic Functions Course | Roots, Graphs, Transformations & Inequalities.

This is a complete mathematics lesson on Quadratic Functions, covering everything from the fundamental concepts to advanced applications. 0:00 – Introduction to Quadratic Function 4:04 – Introduction to Discriminant of Quadratic Function 9:48 – Condition for Equal, Distinct and Complex Roots 15:58 – Problem Set 1: Determining the Nature of Roots 22:10 – Problem Set 2 34:10 – Tangency, Secancy and No Intersection (Application to Conic Sections) — Straight Line and Circle 54:42 – Application 1:04:34 – Straight Line and Parabola 1:10:13 – Problem Set 3 1:19:53 – Straight Line and Ellipse 1:29:31 – Problem Set 4 1:35:03 – Relationship Between the Roots of a Quadratic Equation and Its Coefficients (Sum and Product of Roots) 1:44:45 – Problem Set 5 1:47:27 – Construction of Quadratic Equation from Given Roots 1:52:05 – Symmetric Functions of the Roots (𝛼+𝛽, 𝛼𝛽) Alpha,beta 1:56:01 – Problem Set 6 2:09:50 – Difference of Roots (Non-Symmetric Roots) 2:15:45 – Problem Set 7 2:44:08 – Transformations of Quadratic Functions (Introduction) 2:46:40 – Vertical Shifting (Translation) of Parabola 2:49:53 – Horizontal Shifting (Translation) of Parabola 2:52:54 – Combining Horizontal and Vertical Translation 2:54:54 – Reflection in the x-axis 2:57:27 – Reflection in the y-axis 3:04:30 – Vertical Stretching and Shrinking of Parabola 3:11:47 – Horizontal Stretching and Shrinking 3:16:28 – Quadratic Inequalities (Introduction) 3:28:38 – Worked Problem 3:35:38 – Sign Chart for inequality 3:38:15 – Another Worked Problem 3:45:08 – Vertex Form, Axis of Symmetry, Min & Max Value 3:52:45 – Worked Problems 3:58:40 – Problem Set 8 on Vertex, Axis, Min & Maximum 4:09:36 – Sketching the Graph of Quadratic Functions 4:27:12 – Quadratic Models • Forms of quadratic functions • Solving quadratic equations • The Quadratic Formula • The Discriminant • Discriminant and the nature of roots • Intersection, secancy and non-intersection of graphs • Relationship between roots and coefficients • Constructing a quadratic equation from its roots • Symmetric functions of roots • Transformations of quadratic graphs • Quadratic inequalities • Sketching quadratic graphs • Maximum and minimum values • Vertex and axis of symmetry • Quadratic models • Exam-style questions and applications Quadratic functions Quadratic equations Quadratic formula Discriminant Nature of roots Roots and coefficients Sum and product of roots Quadratic graphs Parabola Vertex of a quadratic function Axis of symmetry Maximum and minimum of quadratic functions Quadratic inequalities Transformations of quadratic graphs Quadratic modelling How to sketch quadratic graphs Complete quadratic equations revision Quadratic functions full course. Senior Secondary School Mathematics students WAEC Mathematics preparation NECO Mathematics preparation JAMB/UTME Mathematics preparation A-Level Mathematics students GCSE Mathematics students #QuadraticFunctions #QuadraticEquations #Discriminant #QuadraticInequalities #QuadraticGraphs #WAECMathematics #JAMBMathematics #NECOMathematics #ALevelMaths #mathsrevision ellipse, parabola, circle.