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4.5 Graphs of Sine and Cosine Functions Part 2

# 4.5 Graphs of Sine and Cosine Functions Part 2 - Basic...

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Lesson: 4.5 Graphs of Sine and Cosine Functions Part 2 Goal: Graph Sine and Cosine Functions DOD Yesterday we talked about vertical stretches (change amplitude) and horizontal stretches (change period). Today we will look at horizontal and vertical shifts. Graphs of Sine and Cosine Functions (p. 357 of text) The graphs of and have the following characteristics (assume ). Amplitude= (if , then flip across x-axis) Period= Horizontal Shift Left and right endpoints of one period Solve for : Vertical Shift Oscillates around line (if , then x-axis) if , then shift up if , then shift down For every function that I will graph, I will find those 4 things above in that order. 1) amplitude 2) period 3) horizontal shift 4) vertical shift Basic shapes and 5 points

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Unformatted text preview: Basic shapes and 5 points ± ³´µ ¸ ± ¾¿³ ¸ Ultimately, you will be asked to graph these functions by hand (calculator free), but feel free early on to use a graphing calculator to help out. Just don't get reliant on a graphing calculator! __________________________________ Examples (these are from the book) Graph at least one full period. Clearly show the five points. ± È É ³´µ Ê ¸ ¹ Ë Ì Í (example 4, p. 357) 4.5 Graphs of Sine and Cosine Functions Part 2 Monday, August 29, 2011 9:00 PM Ch_4 Page 1 Examples (these are from the book) Graph at least one full period. Clearly show the five points. ± ² ³ ´µ¶ · ¸ ¹ º » ¼ (example 4, p. 357) __________________________________ Graph at least one full period. Clearly show the five points. ± ½ ¾¿´ À Á¸ Â Ã ÁÄ (example 6, p. 358) Ch_4 Page 2...
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