1. Graphs of Quadratic Equations 2/19/2013

2. Warm-Up

3. Homework Check

4. Review Practice: Simplify: 1. 2. 3. 4.

5. Review 1.Find the perimeter Of the rectangle: 2. If the perimeter of the trapezoid is 13x – 9. Find the missing side length: 3x - 8 6x + 4 2x + 8 5x + 13 ?

6. Answer the Questions:

7. The two functions we have just looked at are called quadratic functions. **The graph of a quadratic function is a U-shaped curve called a parabola.

14. Complete the investigation: Pairs will display their work under the doc cam. Make sure your work is neat!!!

15. There are 3 possible choices for solutions for quadratic equations: Solutions are your x-intercepts!!! 0 Solutions1 Solution2 Solutions The domain is always ____________ for quadratic functions. All real numbers

16. Use a graphing calculator to answer the following questions. All equations must be in y= before we can graph them using the calculator. Ex. 1 1.Standard Form:__________ 2.Graph: 3.Vertex: ____ 4.Axis of symmetry: _____ 5.y-intercept:_____ 6.x-intercept:_____ 7.Solutions:

17. Ex 2: 1.Standard Form:______________ 2.Graph: 3.Vertex: ____ 4.Axis of symmetry: _____ 5.y-intercept:_____ 6.x-intercept:_____ 7.Solutions:

18. Ex 3: 1.Vertex: ____ 2.Axis of symmetry: _____ 3.y-intercept:_____ 4.x-intercept:_____ 5.Solutions:

19. Ex 4: 1.Standard Form:______________ 2.Graph: 3.Vertex: ____ 4.Axis of symmetry: _____ 5.y-intercept:_____ 6.x-intercept:_____ 7.Solutions:

20. 1. Suppose an eagle is flying 30 feet above a canyon when it drops a stick from its claws. The height, h, of the stick t seconds after it is released can be modeled by the function h=-16t 2 + 30. A.How high above the ground is the stick after 1 second? B. When will the stick hit the ground? (The height when an object hits the ground is 0.)

21. 1C Look at the graph. Why is only the first quadrant shown?

22. 2. A monkey drops an orange from a branch26 ft above the ground. The force of gravity calls the orange to fall to earth. The function h = -16t 2 + 26 gives the height of the orange h in feet after t seconds. When will the orange hit the ground? (The height when an object hits the ground is 0.)

23. 3. Use a graph to answer the following questions. Use a graph to find the minimum/maximum points (vertex)! A. The total profit made by an engineering firm is given by the function p = x 2 – 25x + 5000. Find the minimum profit.