New day 9 examples
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This document discusses translations of trigonometric functions including vertical shifts, horizontal shifts, and vertical/horizontal stretches or compressions. It provides examples of trig function transformations including changing the period or adding constants to vertically or horizontally shift the graph.
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New day 9 examples
- 1. Translations of Trig Functions We work with sin , cos only Vertical Shifts y = cos + 2
- 2. Horizontal Shifts 2 y = sin ( + )
- 3. Vertical/ Horizontal Stretch/ Compress ex. f(x) = 2cosx
- 4. Horizontal ex. f(x) = sin(2x) new period ex. Graph y = sin(x) New period
- 5. y = 2cos(x - ) - 1 y = 3sin2(x + ) - 1