Complete the square and write as a squared binomial. 1.x 2 + 6x + _____ = _____________

Sept. 1Sept. 1 Completing the SquareCompleting the Square

Sept. 2Sept. 2 5.2 (GREEN/class-work)5.2 (GREEN/class-work)

Sept. 3Sept. 3 ReviewReview

Sept. 4Sept. 4 QuizQuiz

Sept. 7Sept. 7 NO SCHOOLNO SCHOOL

Sept. 8-11Sept. 8-11 Solving Quadratic Solving Quadratic Systems (GREEN)Systems (GREEN)

Sept. 14Sept. 14 TaskTask

Sept. 15Sept. 15 QuizQuiz

Sept. 16Sept. 16 ReviewReview

Sept. 17Sept. 17 ReviewReview

Sept. 18Sept. 18 Circles TEST!Circles TEST!

Complete the square and write as a squared binomial.

1.1. x2 + 6x + _____ = _____________

2.2. x2 – 10x + _____ = _____________

3.3. x2 + 24x + _____ = _____________

4.4. x2 + 2x + _____ = _____________

5.5. x2 – 5x + _____ = ______________

6.6. 2 3 ______ _______________x x

Warm Up

This will be a critical skill we will use with conic sections!

Solve by completing the square.

21. 6 16 0x x

Warm Up

22. 4 11x x

Standard Form for a Circle

Where the center is (h,k)

and the radius is r.

(h, k)

r

Center: Radius:

(3, -2)

7

Find the center and radius then graph.

Center:

2

(-1, 0)

Radius:

Write an equation in standard form for the following circle.

7616 22 yyxx22 716 6yx x y

22 716 6x y yx

2 2

Write an equation in standard form for the following circle.

12422 yyx

Write an equation in standard form for the following circle.

2 2 4 6 3 0x y x y

2 2 2 2

2 2 2 2

2 2 2 2

2 2 2 2

2 2 2 2

2 2 2 2

2 2

1. 4 12 2. 2 8

3. 2 2 2 4. 2 6 6

5. 10 2 23 6. 12 6 19

7. 6 17 0 8. 20 19 0

9. 0 10. 0

11. 3 7.5 12. 7 12.5

13. 12 2 8

x y y x x y

x x y y x x y y

x y x y x y x y

x y x x y y

x y x y x y x y

x y x y x y x y

x y x y

2 2

2 2 2 2

0 14. 6 10 2 0

15. 6 14 42 0 16. 10 6 0

x y x y

x y x y x y x y