1. 9.1 Quadratic Functions
Algebra 17.0, 21.0

2. Main Idea & Vocab
This chapter is all about quadratics!
We begin our parabola journey with the basics in this lesson.
Quadratic equation: written in the form y=ax2 + bx + c.
Parabola: the curve created when you graph a quadratic equation.
Vertex: the center point which is the highest or lowest point of a parabola.

3. Vocabulary Domain: the set of all x values of a function.
Range: the set of all y values of a function.
Function: A relation where every domain value is paired with exactly one range value. One to one!

4. Quadratics

5. Ex 1 – Points On the Graph Ex. 1: Points on Graph Substitute Solve
Yes or No?

6. Practice 1

7. Ex 2 –Graphing Quadratics
Make a table of at least 5 points
2) Plug in each x to find each y
3) Plot each point and connect with a curve

8. Practice

9. Ex 3- Identifying the Direction of a Parabola
When a quadratic is written in the form y=ax2 + bx + c, the value of a determines the direction the parabola opens!

10. Practice 3

11. Ex 4- Minimum & Maximum

12. Ex 4- Minimum & Maximum

13. Practice 4

14. Example 5 Step 1: Identify the maximum
Step 2: Find the domain and range.

15. Review What is the standard form of a quadratic equation?
How do you know if a point is on the curve?
How do you graph a quadratic equation?
How do you identify the direction of a quadratic equation?
How do you find the minimum and maximum value of a quadratic?