Uploaded by Retchelle Sangco

2. Quadratic Functions

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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
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