4.5 Graphs of Sine and Cosine Functions Part 2

# 4.5 Graphs of Sine - Basic shapes and 5 points ± ³´µ ¸ ± ¾¿³ ¸ Ultimately you will be asked to graph these functions by hand(calculator

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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 ± ² ³´µ¶·¸ ¹ º» ¼ ½ and ± ² ¾¿³ ·¸ ¹ º » ¼ À have the following characteristics (assume · Á Â ). Amplitude= Ã ² Ã (if ² Ä Â , then flip across x-axis) Period= ÅÆÇ· Horizontal Shift Left and right endpoints of one period Solve for ¸ : ·¸ ¹ º ± Â ·¸ ¹ º ± ÅÆ Vertical Shift Oscillates around line ± ½ (if ½ ± Â , then x-axis) if ½ Á Â , then shift up if ½ Ä Â , 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

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