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