1. Warm up Discussion 1/6/15 …..
A football is thrown upward towards the end zone in an effort to win the game. How long does it take to get to the end zone?

2. Unit 5: Quadratic Functions
Standard: MCC9- 12A.SSE1a
EQ: How Do we Interpret parts of a Quadratic Equation?

3. Standard form for a Quadratic Equation
Standard Form is: f(x) = Ax² + Bx + C
How many terms?
What is the degree?
Leading coefficient of a polynomial is the coefficient of the leading term.

4. Examples
Determine the number of terms, degree and leading coefficient of the quadratic equation.
Ex 1: 2x² - 5x Ex 2: x² + 2x – 10
Ex 3: 5x² - 7x Ex 4: 2x² – 10

5. When is it useful to solve quadratics by the quadratic formula?
Time Permits
Today’s Question:
When is it useful to solve quadratics by the quadratic formula?
Standard: MCC9-12..A.REI.4b

6. It’s called finding the discriminant.
notes
There is a way to tell how many roots an equation will have.
It’s called finding the discriminant.
The discriminant is a small part of the quadratic formula.

7. Our text book says solutions instead of roots (same thing).
If the answer is POSITIVE, then you will have 2 roots.
If the answer is ZERO, then you will have 1 root.
If the answer is NEGATIVE, then you will have no roots.
Our text book says solutions instead of roots (same thing).

8. Determine the number of roots. Example: 1
No Roots

9. Determine the number of roots. Example: 2

10. Determine the number of roots. Example: 3

11. Find the number of x-intercepts. Example: 4
two x-intercepts

12. Find the number of x-intercepts. Example: 5
zero x-intercepts

13. Classwork / Homework
Purple book: pg Directions: List the degree, number of terms and leading coefficient. Find the discriminant and use it to determine if the equation has one real, two real, or two imaginary root(s).