Notes for 11/3 BY JOVAN

Quadratic functions:

Ways to express quadratic function:

- f(x) = ax^2 + bx + c (General)

- c is y-intercept

- f(x) = a(x-h)^2 + k (Vertex form)

- coordinates of turning point (h, k)

- f(x) = a(x-p)(x-q) (Factor form)

- roots

- each form gives separate information about the graph

- General to Vertex - Completing the square

- General to Factor - Factorise

- Factor/Vertex to General - Expand

Ways to solve the equations:

- Using quadratic formula

- Completing the square

- Factorise

- Graph

- Sum and product of roots

- Calculator (DUH! =D)

Discriminant:

- b^2 - 4ac

- D > 0

- real and distinct roots (2 intersection on the x-axis)

- D = 0

- real and equal roots (1 intersection on the x-axis)

- D < 0

- imaginary/complex roots

Graphing (Sketching)

- roots, turning point, y-intercept

- shape: symmetrical

- smiley face-curve a > 0

- sad face-curve a < 0

- y-intercept: c

- Roots: solve

Math Summary~ Discriminants (060313)

MATHS SUMMARY - NATURE OF ROOTS OF A QUADRATIC EQUATION (050313)

Ways to solve quadratic equations
1) Factorisation
2) Completing the square
3) General Formula
4) Calculator
5) Graph

The (b^2 - 4ac) within the general formula determines the nature of the roots of an quadratic equation.
If (b^2 - 4ac) = 0, one of the roots is 0, the other root will be a real number. (x will have one value)
If (b^2 - 4ac) < 0, both roots are real (x will have 2 values)
If (b^2 - 4ac) > 0, both roots are imaginary or complex number (x will have no values)

MATH SUMMARY - SUM/PRODUCT OF ROOTS (040313)

Math Quiz ( Logs )

Answers for Indices A02a and Revision Worksheet (E Math)

Dear all

Here are the answers for your checking for the worksheets.

Indices A02a

Revision Worksheet (E Math)

Solutions for Partial Fractions