The document introduces quadratic functions and differentiates them from linear functions through exercises and examples. Students are tasked with identifying quadratic functions, using tables of values, and recognizing patterns in differences between y-values. The objective includes evaluating their understanding and preparing for further exercises with graphing paper.

1. Mathematics 9

3. Introduction to
Quadratic Function
PREPARED BY: JASMIN C. ALANG- MIPARANUM

4. Objective:
a. Differentiate quadratic functions from
linear functions;
b. Represent and identify quadratic function
using table of values;
c. Value accumulated knowledge as means
of new understanding.

5. A. Preliminary
Do you remember all the
functions that we have?

6. State whether each of the
following equations
represents a quadratic
function or not. Justify your
answer.

7. +4
2 =

8. 1. Which of the mathematical sentences are
quadratic functions?
2. Which of the mathematical sentences are NOT
quadratic functions? Why?
3. How would you describe those mathematical
sentences which are not quadratic functions? How
are they different from those equations which are
quadratic?

9. Alin, Alin, alin ang pinagkaiba?
Isiping Mabuti ang pinagkaiba.
Follow the instruction below.
Complete the table using the given
functions.

10. x -3 -2 -1 0 1 2 3
y
x -3 -2 -1 0 1 2 3
y
𝒇 ( 𝒙 )=𝟑 𝒙 +𝟏
𝒈 ( 𝒙)=𝒙𝟐
+𝟐 𝒙 − 𝟒

11. Find the differences between adjacent y – values in each table,
and write them on the blanks provided.

12. 1. What do you observe with the
difference of each table values?
2. How can you recognize a
quadratic function when a table of
values is given?

13. Consider the given functions
f(x) = 2x + 1 and g(x) = x²+2x-1.
1. What kind of functions is f(x)? g(x)?

14. 2. Complete the following table values using the
indicated function:
f(x) = 2x + 1
g(x) = x²+2x-1
x -3 -2 -1 0 1 2 3
y
x -3 -2 -1 0 1 2 3
y

17. Write a 1 paragraph statement
explaining how to recognize that
the given mathematical sentence
is a QUADRATIC FUNCTIONS
using the table of values in your
own words.

18. Generalization:

19. Evaluation:

20. Assignment:
Bring graphing paper tomorrow.