1. Homework Questions

2. Warm Up
Determine whether each quadratic function contains an absolute minimum or maximum
minimum

3. 12.3A Projectile Motion
SWBAT develop the function of a projectile motion to analyze the function for its maximum, y-intercept and x-intercepts in the context of a real world situation.

4. Model Rocket

5. Suppose the model rocket has an initial velocity of 160 feet per second.

8. 6a. How can we identify the x-intercepts while looking at the graph of a quadratic function? What is known about the y- coordinate of x-intercepts? b. Determine the x-intercepts of g(t). c. What information do the x-intercepts give us about he launching of the rocket? x

9. Reflection
1. Describe the general function of a projectile: a. The function: b. What is the v0 in context of a projectile situation c. What is the h0 in context of a projectile situation 2. How can you find the x-intercepts of a given function? 3. What do the x-intercepts repesent in the context of a projectile motion problem?

10. Homework Questions

11. Warm Up Write the function that represents each real-world scenario.
A model rocket is launched from the ground with an initial velocity of 150 feet per second.
A baseball is thrown into the air from a height of 6 feet with an initial vertical velocity of 19 feet per second.

12. 12.3B Domain, Range, and Interval Notation
SWBAT analyze the graph of a quadratic function to identify the domain, range, zeros, and the intervals of increase and decrease.

13. Domain and Range

15. Interval Notation

16. Zero to 5.
10, the x-intercept.
(0, 5)
(5, 10)

18. Intervals of Increase and Decrease
(-∞, ∞)
(-∞, 2]

19. (-∞, ∞)
[-1/4, ∞)

20. (-∞, ∞)
[-2.25, ∞)

21. (-∞, ∞)
[-.25, ∞)

22. Reflection