Trigonometric functions, Transforming Graphs
Key Stage: 5 ★
Can you identify what transformations convert the red line into the other lines. What are their equations?
This problem provides a context to explore graphs of trigonometric functions and look at the effects on the graph when the equation is changed. Rather than asking learners to sketch the graphs from the equations, they have to figure out the equation from the graph. The problem gives the opportunity to investigate reflections, stretches and translations of curves, and the corresponding effects on equations.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
Key Stage: 5 ★
Can you identify what transformations convert the red line into the other lines. What are their equations?
This problem provides a context to explore graphs of trigonometric functions and look at the effects on the graph when the equation is changed. Rather than asking learners to sketch the graphs from the equations, they have to figure out the equation from the graph. The problem gives the opportunity to investigate reflections, stretches and translations of curves, and the corresponding effects on equations.
This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.
The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.
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I like it, although I may have to get a new colour print cartridge to print off a class set!
This is an excellent, colourful activity, students are presented with a pattern made from trig graphs and must use their knowledge of transformations to work out their equations. This would be a lovely extended plenary following a lesson on transforming graphs at A-level or top end GCSE. Thank you for sharing.
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