Nayland College Mathematics; More than just a school  
 
 

 

 
 
 

AS 2.2 Graphs

Graphs HOME | Achievement Objectives | Parabola Graphs | Parabola Questions | Cubics | Hyperbola | Circles | Circle Problems | Exponential | Logs | Intersections | Revision

Achievement Standard 2.2 Graphs investigates many more types of graph than covered in level 1 (line & parabola)
Graphs of equations are sketched, equations formed from given graphs and graphs and equations are used to model practical situations.

Graphing Starters | web version (firefox may have issues -try IE)

Word doc 07/03 Theta Homework book (David Barton) Theta text book (David Barton) 2005 edn Web link Geogebra java animation Powerpoint Excel Spreadsheet (allow macros)
1



Overview & Parabolas

Unit Overview. Parabola sketching & transformations
y = ±a(x ± c)2 ± d
y = (x ± a)(x ± a)
Graph to/from equation

Parabola Transformations (Allow macros on spreadsheets)

NOTE: to change the macro security settings

Achievement Standard | Unit Overview | Parabola Class Notes | Blank Notes

Ex10.01, Ex10.02

Parabolas

p41, p42

GeoGebra Java Parabola Translation | Parabola Brackets

2



Parabola Applications

Practice sketching, Using 'completing the square' to sketch a graph, parabola applications & word problems

Class notes, Blank notes

Ex10.03

Parabola Questions | waldomaths.com

p43,

3



Cubics

Basic Cubic, Translated Cubic, 3 Bracket cubic

Cubic Graphs

Class notes, Blank notes

Ex10.04

Cubics

p44,

GeoGebra Java Cubics | With Brackets

4



Hyperbolas

Simple Hyperbola, asymptotes

 Hyperbola Graphs

  

Class notes, Blank notes | Daves notes | Worksheet

Ex11.01

Hyperbola

p45,

GeoGebra Java Hyperbola

5



Translated Hyperbola

Finding both intercepts, asymptotes & sketching translated hyperbola

Class notes, Blank notes

Ex11.02, Ex11.03

p46, p47

6



Circles

Sketching basic circles & translated circles

Circles

Circle Graphs

Class notes, Blank notes

Ex11.04, Ex11.05

Circles

p48,

GeoGebra Java Circles

7



Exponential Functions

Sketching Basic exponential functions

Exponential Graphs

Class notes, Blank notes

Ex12.01, Ex12.02, Ex12.03

Exponential

p51,

GeoGebra Java Exponential

8



More Exponential

Practice sketching stretched exponential functions and exponential applications

Exponential Graphs

Class notes, Blank notes | Daves Notes

Ex12.04, Ex12.05

Exponential

p52,

GeoGebra Java Exponential Translation

9



Even More Exponential

Practice sketching translated exponential functions and exponential applications

Exponential Graphs

Class notes, Blank notes

Ex12.05

Exponential

10



Logarithmic Functions

Basic Log graphs with different bases,

Log graphs

Class notes, Blank notes

Ex12.07

Log Graphs

p54,

GeoGebra Java Log Translation

11



More Logs

Translation of log graphs & Log and exponential applications

Log graphs

Class notes, Blank notes | Daves Notes

Log Graphs

12



Translations

Review of graph translations:
Vertical & Horizontal translations, Vertical & Horizontal changes in scale, Vertical & Horizontal reflections

Class notes, Blank notes

Ex13.01, Ex13.02, Ex13.03

Log Graphs

GeoGebra Java Translation

13



Mixed Translations

Practice of mixed graph translations:

Ex13.04

Log Graphs

14



Intersections

Determining the points of intersection between functions: line & parabola,  line & circle, line & hyperbola, Tangency

Class notes, Blank notes | Class notes | Absolute value graphs bland notes

Intersection

15



Applications

Applications and word problems relating to graphing functions

Class notes, Blank notes

Hyperbola & Circle Ex11.06, Ex20.05

p53,

16



Excellence questions

Yay

Harder revision Questions | Answers A | B

 

Class notes, Blank notes

Excellence Starters | blank version

Log and exponential applications Ex13.05

p49, p50

17



Revision

Revision Page, Link to previous Exam Papers

Mixed Graphs | Answers | Daves Revision | Another revision sheet

pg158

Revision | Exam Papers

p55, p56, p57, p58

18



     

 

back to top