Syllabus point — Maths Interactives

Recognise and determine the effect of the parameters 𝑎, 𝑏, ℎ and 𝑘 on the graphs of 𝑦 = 𝑎 sin(𝑏(𝑥 − ℎ))+ 𝑘, 𝑦 = 𝑎 cos(𝑏(𝑥 − ℎ))+ 𝑘, with and without technology.

mm-u1-t4-s2-d4

Interactive

Parameters a, b, h, k on sin and cos

manipulative

Focus one parameter at a time on y = a sin(b(x+h))+k (or cos) against a ghost base curve — amplitude, period, phase, and vertical shift each do one job.

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