Stage: 5 Challenge Level: 
Many thanks Aditya Sahu from Bristol Grammar School for sending us this puzzle. Here is a pattern for you to experiment with using graph drawing software. For example, you can download Graphmatica for free from here and it comes with a good Help file.
One of the graphs is the graph of the sine function. Find the equations of the other graphs to reproduce the pattern.
Graph plotters. Families of Graphs. Turning points. Graph sketching. Symmetry. Transformation of functions. Sine. Compound transformations. Asymptotes. Graphs.
Published October 2002.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk
