1. 3.3 Completing the Square

2. What You Will Learn Solve quadratic equation using square roots
Solve quadratic equations by using completing the square
Write the quadratic functions in vertex form

3. Solving Quadratic Equations Using Square Root
Remember
So, the solutions are

7. Completing The Square
How it works:

11. Important Step! Make sure to divide by coefficient of before completing the square.

12. Important Step! Make sure to divide bycoefficient of before completing the square.

13. Writing Quadratic in Vertex Form

14. Write function in vertex form.
Modeling with Mathematics: Example
The height in feet of a baseball t seconds after it is hit can be modeled by the function:
a)Find the maximum height of the baseball.
Write function in vertex form.
The maximum height of the basebal 147 ft

15. Modeling with Mathematics: Example continued
The height in feet of a baseball t seconds after it is hit can be modeled by the function:
b)How long does it take to hit the ground?
Find zeros of the function

16. The vertex indicates the maximum height is at 147 feet when time = 3 seconds. The zeros indicate when the baseball is on the ground, t = 6 sec.

17. The End