20. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
21. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
22. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
23. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
24. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
0, two interceptsx
25. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
0, two interceptsx
2
e.g. Sketch the parabola 8 12y x x
26. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
0, two interceptsx
2
8 4 1 12
16
2
e.g. Sketch the parabola 8 12y x x
27. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
0, two interceptsx
2
8 4 1 12
16
2
e.g. Sketch the parabola 8 12y x x
8 16
vertex ,
2 4
28. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
0, two interceptsx
2
8 4 1 12
16
2
e.g. Sketch the parabola 8 12y x x
8 16
vertex ,
2 4
4, 4
29. Quadratics and the Discriminant
2
4b ac
vertex ,
2 4
b
a a
zeroes
2
b
a
Note: if 0, no interceptsx
0, one interceptx
0, two interceptsx
2
8 4 1 12
16
2
e.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*