1. Lesson 10-2 Solving Quadratic Equations by Graphing

2. Definitions Standard Form - y = ax 2 + bx + c, where a  0. Roots - The solutions of a quadratic equation, which can be found by finding the x-intercepts or zeros of the related quadratic function. Symbol used to express empty set or no real solutions.

3. Two roots -3 and 3 Types of roots. (x+3)(x-3)

4. Double root of 2 Types of roots. (x-2) 2

5. No real roots Types of roots.

6. Rational roots -2  x  -1 and 1  x  2

7. Solve x 2 + 6x -7 = 0 by graphing. Find the roots. xy

8. Solve x 2 - 6x -9 by graphing. xy

9. Solve x 2 +2x +3=0 by graphing. xy

10. xy Solve x 2 -4x +2 = 0 by graphing. For integral roots, state the consecutive integers the root lies between.

11. Shelly built a model rocket for her science project. The equation y = -16t 2 + 250t models the flight of the rocket, launched from ground level at a velocity of 250 feet per second, where y is the height of the rocket in feet after t seconds. For how many seconds was Shelly’s rocket in the air? xy Y = -16t 2 + 250t