1. Section 1.3 Quadratic Equations 1

2. 2

3. OBJECTIVE 1 3

4. Solve the equation: (a) (b) --- 4

5. Solve the equation: --- 5

6. OBJECTIVE 2 6

7. The Square Root Method 7

8. Solve each equation. (a) (b) 8

9. OBJECTIVE 3 9 3. Finding the vertex of a Quadratic Function

10. 10 Example 4 For t in seconds, the height of a object in feet is given by the formula y = f(t) = −16t 2 + 32t + 16. Using algebra, find the maximum height reached by the object and the time that height is reached. second

11. 11 Area = lw

12. OBJECTIVE 4 12

13. 13

14. 14

15. Find the real solutions, if any, of the equation: (a) (b) (c) --- 15

16. Find the real solutions, if any, of the equation: 16

17. 17

18. OBJECTIVE 5 18

19. Solution is only x = 22 19

20. The area of the opening of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 centimeter, what are the dimensions? (Page 122 #90) An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s of the object from the ground is s = -5t 2 + 20t. (Page 123 #100) (a) When will the object be 15 meters above the ground? (b) When will it strike the ground? (c) When will object reach a height of 100 meters? Area = Length X width306 = (w + 1)w 15 = -5t 2 + 20t 0 = -5t 2 + 20t 100 = -5t 2 + 20t 20