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What's on the worksheet
- Write an equation of the form y = a x or y = a x for each wave described.
- The figure shows the graphs of two functions f and g on [0, 2π], each of the form y = a x or y = a x, with their key points marked.
- A corrugated metal roof panel, cut straight across its ridges, has the profile y = a x.
- The graph of y = a x passes through (π, -12).
- For each pair of points, decide whether a single graph y = a x passes through both.
- Priya starts with the graph of y = a x.
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The free lesson teaches it with worked examples and practice problems.
Amplitude and reflection: the lesson ›More Chapter 4 worksheets: Trigonometric functions and their graphs
- 4.1Periodic functions
- 4.2Graphing sine and cosine
- 4.3Amplitude and reflection
- 4.4Finding the period from the equation
- 4.5Phase shift
- 4.6Midline and vertical shift
- 4.7Writing an equation from a wave
- 4.8Graphing tangent and the reciprocal functions
- 4.9Inverse trig functions
- 4.10Composing trig and inverse trig functions
- 4.11Height on a turning wheel
- 4.12Tides, daylight and sound
- 4.13Simple harmonic motion