Let’s recap on these graphs. Are they your friends or foes?
A) Straight Line : y = mx + c
In the straight line equation: y = mx + c:
'x' and 'y' are the coordinates of the points that satisfy the function and so lie on the straight line graph.
'm' is the gradient of the straight line graph, and
'c' is the 'y intercept' of the straight line graph.
Recap :
Play these two games
Game 1: http://hotmath.com/hotmath_help/games/ctf/ctf_hotmath.swf Game 2: http://hotmath.com/hotmath_help/games/kp/kp_hotmath_nosound.swf
Hope you have fun here!
Task 1:
Take this short quiz and check on your understanding of straight lines.
Click on this url : http://www.mathsisfun.com/quiz/linear_equation_test.html
Remember your score for this quiz.
Country Note:
|| In the US, Australia, Canada, Egypt, Mexico, Portugal and Philippines the notation is:
y = mx + b
In the UK, Australia (also), Bahamas, Bangladesh, Belgium, Brunei, Cyprus, Germany, Ghana, India, Indonesia, Ireland, Jamaica, Kenya, Kuwait, Malaysia, Malawi, Malta, Nepal, Netherlands, New Zealand, Nigeria, Pakistan, Singapore, Solomon Islands, South Africa, Sri Lanka, Turkey, UAE, Zambia and Zimbabwe
y = mx + c
In Albania, Brazil, Catalonia, Czech Republic, Denmark, Ethiopia, France, Lebanon, Holland, Kyrgyzstan and Viet Nam:
y = ax + b
In Azerbaijan, China, Finland, Russia and Ukraine:
y = kx + b
In Greece:
ψ = αχ + β
In Italy:
y = mx + q
In Japan:
y = mx + d
In Latvia:
y = jx + t
In Romania:
y = gA + C
In Sweden:
y = kx + m
In Slovenia:
y = kx + n

B) Quadratic Curve : y = ax2 + bx + c
Explore this quadratic applet : http://www.mathopenref.com/quadraticexplorer.html
Task 2:
a) How will a, b and c affect the graph?
b) Look carefully at this graph below, what can you say about this graph? Comment on the sketch and can you deduce the equation for this graph?


Click on this link and input your findings? http://linoit.com/users/angcc/canvases/3V2%282011%29
Do you still remember how to create a geogebra applet for this?
C) Cubic Curve :
y=ax3+bx2+cx+d
Click on this link to discover more about cubic graphs. http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/furthergraphhirev1.shtml
Explore on this cubic applet : http://www.mathopenref.com/cubicexplorer.html
Task 3 :
If you are asked to 2x3 + x2 - 18x - 9 = 0 on graph, how will you approach it? Click here to input your solution.
http://linoit.com/users/angcc/canvases/3V2%282011%29
If you still have doubt on cubic graphs, you may explore on this cubic applet : http://www.mathopenref.com/cubicexplorer.html