1. Quadratic Functions 1 2MPES
Ecole Supérieure de Commerce de Neuchâtel
Pierre Marchal
Attribute to: Kenny M. Felder (Rice University)

2. Objectives of this course
By the end of the unit, you should get the point:
What is a Quadratic Function?
Name the graph of a Quadratic Function
Know the Characteristics of Quadratic Functions
Sketch any Quadratic Functions

3. Quadratic Functions

4. Quadratic Function Is a function in which the independent variable
Basic Quadratic function:
Let’s discover some characteristics of this function: go to Exercise 3.1
is raised to the second power

5. Exercise # 3.1 Function to graph: What do we notice? Axis of symmetry
- 4
- 3
- 2
- 1 1 2 3 4 y 16 9
Axis of symmetry
Vertex
Parabola
y-intercept:
x-intercept:

6. Let’s try some translation now!
Exercise # 3.2
Exercise # 3.3
Exercise # 3.4
Exercise # 3.5
What happened to the vertex? up
Vertical translation
down
right
Horizontal translation
left
The vertex follows the translations

7. A bit of stretch now! Exercise # 3.6 Exercise # 3.7 Exercise # 3.8
Trick:
tight
Stretch the opening
wide
It opens down
All previous parabolas have positive coefficients for the x2, and they all open up
When the coef. of x2 is positive
When the coef. of x2 is negative

8. Homework for the next course
Finish exercises #3.9 to #3.13
Write down what you have learned from all these exercises (Fill you revision Mindmap)
This is mandatory!

9. See you at the next course, please do your homework!
Thank you for your work