1. Chapter 6, Sections 1 & 2
Quadratic Functions

2. What is a quadratic function?
Definition:
Where a, b, c are constants
Shape of graph:
Called a parabola
Has a vertex point
A point where the graph changes direction (x,y)
Has a max or a min point
Same location as vertex, only use the y value
Has an axis of symmetry
An imaginary line that divides the parabola into two equal parts at the vertex, written as x = #
Can have 1, 2 or 0 x-intercepts
Has a y-intercept

3. Examples – Chart handout

4. Types of solutions: 0 real solutions – graph does not touch the x-axis
Solutions are complex and come in pairs called conjugates
1 real solution – graph touches the x-axis once
This is considered to be a double root
2 real solutions – graph touches the x-axis twice

5. More about solutions: Finding the solution relates back to factoring
The solutions can be used to write the factored form of the equation
When there is a double root, the quadratic is a perfect square trinomial
This means that the factors were the same
If you know the solutions, you know the x-intercepts, the roots, and the zeros
ALL OF THESE TERMS MEAN THE SAME THING!!!!!!

6. Examples– Chart from before

7. Your turn…
Exit Slip: What are 5 things you can find from the graph of a quadratic function and explain where they are on the graph.
Classwork: 6-1 in practice workbook
1-3 do part a only
4-11 as instructed