A B C Introduction Quadratic Functions Describe a quadratic function Identify and represent a quadratic function using its: (a) table of values, (b) graph, (c) equation Value: Give importance and respect to one’s ideas and contributions. Objectives Quadratic Functions as Equations A function f(x) = ax²+bx+c where a, b and c are real numbers, and a is not equal to 0. Function of degree 2 Examples : Quadratic Function It has 2 forms a. Standard form b. Vertex form Quadratic Function Quadratic Functions as Graphs Its graph is called “parabola” Quadratic Function Quadratic Functions as Table of Values Table of values Quadratic Function x 0 1 2 3 4 y 3 6 11 18 27 Group Activity Each group will be given 2 quadratic functions. You will complete the table of values and construct a graph for each quadratic function. After 10 minutes, outputs will be posted on the board for presentation and evaluation. Collaborative Learning 1. 𝒚 = 𝒙𝟐 + 𝟒𝒙 + 𝟒 x -4 -3 -2 -1 0 1 2 y 2. 𝟐 𝒇(𝒙) = −𝒙 x f(x) -2 -1 0 Clarifications… Going back to the Introduction… A B C Introduction 1. y = x2 + 1 2. -2x+3 = x2 3. 5x2 + y = 10 5 4 6 Quiz (Set A) 7 8 9 10 Quiz (Set A) 1. 5x2 + y = 10 2. y = x2 + 1 3. -2x+3 = x2 5 4 6 Quiz (Set B) 7 8 9 10 Quiz (Set B) 1. -2x+3 = x2 2. y = x2 + 1 3. 5x2 + y = 10 5 4 6 Quiz (Set C) 7 8 9 10 Quiz (Set C) In the activity that you did, how did you arrive with the desired output? Did you experience misunderstandings and miscommunications? How did you manage it? Valuing As a Cor Jesian, how will respect help you as a person and as a follower of Jesus Christ? Integration to VMG In a graphing paper, create a table of values using the given quadratic expression and plot the points on a Cartesian Coordinate Plane. Identify if it is quadratic function. 1. y = -x2 -5 Assignment