AS/A2 Pure 1 Pure 3

P2 Topic 2: Functions
Spot the transformation
Change the value of a and hence decide which of these transformations is happening:
y=af(x), y=f(ax), y=f(x-a) or y=f(x)+a

1	2	3
4	5	6

Answers 1. y=f(x)+a y=sin(x)+a 2. y=f(ax) y=(ax)2-2(ax) 3. y=f(x-a) y=(x-a)3+2(x-a)2 4. y=af(x) y=a(x2+2x-4) 5. y=af(x) y=asin(x) 6. y=f(ax) y=-(ax)3+3(ax)2 Based on free Java applets from JavaMath