Transforming the Quadratic Graph

Chris Mann
The following applet is to enable you to recognise the implications of changing variables in a function y=a(x+b)^2+c. We looked at finding the maximum and minimum points using completing the square last lesson. Use this to generate an explanation as to what happens when we change a, b or c.
What happens to the shape of the curve when a,b or c is changed? What happens to the minimum/maximum point of the curve when a) a is positive or negative? b) b is changed positively or negatively? c) c is changed positively or negatively?