Copyright © University of Cambridge. All rights reserved.

## 'Parabolas Again' printed from http://nrich.maths.org/

Here is a pattern for you to experiment with. This one is
composed of the graphs of 14 parabolas. You may like to use a
graphic calculator or graph drawing software to do this question.
For example you can download Graphmatica for free from here .

The equations of three of the graphs are: $$y=2(x-6)^2-4$$
$$y=2x^2 -1$$ $$y= -2(x-4)^2 +3$$

Find the equations of the other 11 graphs in this pattern. Draw
your own pattern and send it to us.