tdiukmbf

1. Good
Morning

2. Standard Form
What is the
standard form
of Quadratic
equation?

3. 𝑥2
+ 4𝑥 + 4 = 0
Examples
𝑥2
+ 16𝑥 = 0
25 = 𝑥2

4. Standard Form
What is the
standard form
of Quadratic
Inequalities?

5. 𝑥 + 1 𝑥 − 1 > 0
Examples
(𝑥 − 3)(𝑥 + 2) < 0
2𝑥2
− 3𝑥 − 2 > 0

6. Standard Form
What is the
standard form
of Quadratic
Function?

7. 𝑦 = 𝑥2
− 8𝑥 + 15
Examples
2(𝑥 − 3)(𝑥 + 2) = 𝑓(𝑥)
𝑦 = 2𝑥2
− 6𝑥 − 5

8. Table of values
X 0 1 2 3 4
y 5 6 7 8 9

9. Table of values
X 0 1 2 3 4
y 0 1 4 9 16

10. Table of values
X 0 1 2 3 4
y 0 4 16 36 64

11. Table of values
X 0 1 2 3 4
y 2 1 -2 -7 -14

12. Discriminant
𝐷 = 𝑏2
− 4𝑎𝑐

13. 𝑟1 ∙ 𝑟2 =
𝑐
𝑎
Product of roots

14. 𝑟1 + 𝑟2 =
−𝑏
𝑎
Sum of roots

15. SolVE
𝑥2
+ 4𝑥 − 21 = 0 product sum Discriminant

16. SolVE
3𝑥2
− 8𝑥
= 4
product sum Discriminant

17. SolVE
2𝑥2
− 3𝑥 − 20 = 0 product sum Discriminant

18. Quadratic Function
Formula of
ℎ =
−𝑏
2𝑎
k =
𝑏2
− 4𝑎𝑐
4𝑎

19. EXAMPLE
𝑦 = −𝑥2
− 1 Vertex
(h, k)
axis opening

20. EXAMPLE
𝑦 = 𝑥2 + 𝒙 − 𝟔 Vertex
(h, k)
axis opening

21. EXAMPLE
𝑦 = 𝟏𝟎𝑥2 − 𝟏𝟑𝒙 − 𝟑 Vertex
(h, k)
axis opening