Grade 10 MATH Term 2 Week 3 - 4: Finding the Equation of a Quadratic Function | MATATAG 2nd Term/Q2

Introduction and Review of Quadratic Functions00:00:07

The video introduces the topic of finding quadratic function equations. It reviews the standard form (y = ax² + bx + c), the definition of a parabola, key parts like the vertex and intercepts, and the concept of discriminant-based nature of roots.

Finding the Equation from a Table of Values00:08:32

Explanation of the step-by-step process for finding an equation when provided with a table. It covers determining the constant second difference to identify the quadratic pattern, calculating the 'a' coefficient, and solving for 'b' and 'c' using substitution.

General Three-Point Method00:20:05

This part explains how to find the quadratic equation when x-values are not equally spaced or zero is not present. The method involves creating a system of three equations using three points and solving for the coefficients a, b, and c.

Finding the Equation from a Graph00:32:48

Discussion on how to extract information from a parabola's graph. It outlines three cases: using the vertex form (when the vertex is known), the factored form (when x-intercepts are known), and the standard form (using three random points).

Finding the Equation from Zeros00:45:55

Demonstration on deriving a quadratic function when only its roots or zeros are provided. It shows how to convert zeros into factors and, if an additional point is provided, how to determine the value of 'a' to define a specific quadratic equation.