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2: Functions
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Quadratics

Quadratics

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Timeline

QUADRATICS, FACTORS & ROOTS

General form of a quadratic

00:00

Factored form of quadratic

00:51

Factoring by inspection

01:29

Completing the square

04:17

Quadratic formula

08:12

The discriminant and solution count

11:31

Exercise

13:13

PARABOLAS

Parabolas

14:31

Quadratic x-intercepts

15:18

Since the roots of a quadratic are \[x=\frac{-b\p

16:00

Concavity of a parabola

16:24

Equation of the axis of symmetry

17:25

Vertex form & coordinates

18:01

Quadratic Inequalities

20:19

PROBLEM SOLVING SL+HL

HL ONLY

Vieta's Formulae

41:34

Exercise

42:46

Quadratics, factors & rootsParabolasProblem solving SL+HLHL only

The video will automatically pause when it reaches a problem.

General form of a quadratic

SL AA 2.6

A quadratic in x is an expression of the form

ax2+bx+c

where a=0

Example

3x2−1 is a quadratic, but 2x+3 is not.

General form of a quadratic

SL AA 2.6

A quadratic in x is an expression of the form

ax2+bx+c

where a=0

Example

3x2−1 is a quadratic, but 2x+3 is not.

Quadratics, factors & rootsParabolasProblem solving SL+HLHL only