AS/A2 Pure 2 Pure 3

P1 Topic 2: Algebra
Quadratic curve recognition 2
By clicking in the top line of the display below and then clicking Load Example, you can look at any of 10 quadratic curves. What are their equations? Type your answer into the box labelled Quadratic curve2(x), then click New Functions. Note that you will have to enter the function x² as x*x, and so on. The answers are at the bottom of the page.

Answers Curve 1: y=x2+1 Curve 2: y=x2-2 Curve 3: y=(x-1)(x+1) Curve 4: y=(x-2)(x+1) Curve 5: y=(x-1)(x+2) Curve 6: y= -(x-2)(x-1) Curve 7: y=(x+1)(x+3) Curve 8: y=-(x-1)2 Curve 9: y=(x-3)*(x+2) Curve 10: y=-(x-3)(x+4) Based on free Java applets from JavaMath