11 x1 t10 02 quadratics and other methods (2013)
TRANSCRIPT
![Page 1: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/1.jpg)
Quadratics and Completing the Square
![Page 2: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/2.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x
![Page 3: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/3.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
![Page 4: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/4.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
![Page 5: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/5.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
![Page 6: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/6.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts
![Page 7: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/7.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
![Page 8: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/8.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
![Page 9: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/9.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x 4 2
4 2x
x
![Page 10: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/10.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
4 24 2
xx
![Page 11: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/11.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
![Page 12: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/12.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
(ii) Write down the quadratic with roots 2 and 8 and vertex (5,3)
![Page 13: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/13.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
(ii) Write down the quadratic with roots 2 and 8 and vertex (5,3) 25 3y k x
![Page 14: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/14.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
(ii) Write down the quadratic with roots 2 and 8 and vertex (5,3) 25 3y k x
22,0 : 0 2 5 3k
![Page 15: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/15.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
(ii) Write down the quadratic with roots 2 and 8 and vertex (5,3) 25 3y k x
22,0 : 0 2 5 3k
9 313
k
k
![Page 16: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/16.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
(ii) Write down the quadratic with roots 2 and 8 and vertex (5,3) 25 3y k x
22,0 : 0 2 5 3k
9 313
k
k
21 5 33
y x
![Page 17: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/17.jpg)
Quadratics and Completing the Square
e.g. 2Sketch the parabola 8 12y x x 2 8 12y x x
24 4x
vertex is 4, 4
x intercepts 24 4 0x
24 4x
6 or 2x x
intercepts are
6,0 and 2,0x
4 24 2
xx
(ii) Write down the quadratic with roots 2 and 8 and vertex (5,3) 25 3y k x
22,0 : 0 2 5 3k
9 313
k
k
21 5 33
y x
21 10 163
y x x
![Page 18: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/18.jpg)
Quadratics and the Discriminant
![Page 19: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/19.jpg)
Quadratics and the Discriminant2 4b ac
![Page 20: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/20.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
![Page 21: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/21.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
![Page 22: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/22.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx
![Page 23: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/23.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx
![Page 24: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/24.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx 0, two interceptsx
![Page 25: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/25.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx 0, two interceptsx
2e.g. Sketch the parabola 8 12y x x
![Page 26: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/26.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx 0, two interceptsx
28 4 1 1216
2e.g. Sketch the parabola 8 12y x x
![Page 27: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/27.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx 0, two interceptsx
28 4 1 1216
2e.g. Sketch the parabola 8 12y x x
8 16 vertex ,2 4
![Page 28: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/28.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx 0, two interceptsx
28 4 1 1216
2e.g. Sketch the parabola 8 12y x x
8 16 vertex ,2 4
4, 4
![Page 29: 11 x1 t10 02 quadratics and other methods (2013)](https://reader033.vdocuments.us/reader033/viewer/2022060120/5591a1b71a28abae268b46fc/html5/thumbnails/29.jpg)
Quadratics and the Discriminant2 4b ac
vertex ,2 4ba a
zeroes2
ba
Note: if 0, no interceptsx 0, one interceptx 0, two interceptsx
28 4 1 1216
2e.g. Sketch the parabola 8 12y x x
8 16 vertex ,2 4
4, 4
Exercise 8B; 1cfi, 2bd, 3c, 4b, 6bei, 10b,11d, 16, 17, 20*
Exercise 8C; 1adg, 2adg, 3ad, 5ac, 8ac,10, 13*