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?

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

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.

Examples Determine the number of terms, degree and leading coefficient of the quadratic equation. Ex 1: 2x² - 5x + 3 Ex 2: x² + 2x – 10 Ex 3: 5x² - 7x + 8 Ex 4: 2x² – 10

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

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.

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).

Determine the number of roots. Example: 1 No Roots

Determine the number of roots. Example: 2

Determine the number of roots. Example: 3

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

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

Classwork / Homework Purple book: pg. 93 1-6 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).