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# 5.4.3 writing equations

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### 5.4.3 writing equations

1. 1. 5.4 The Graphs of Sine and Cosine<br />Writing an equation from the graph<br />
2. 2. To write an equation:<br />Determine whether to use sine or cosine<br />If the y-intercept is in the middle of the graph, use sine<br />If the y-intercept is at a maximum or a minimum, use cosine.<br />Determine the amplitude of the function<br />Determine the period of the function<br />Use the period to find ω<br />Determine the vertical shift<br />Determine whether there is a reflection<br />
3. 3. Basic Equations<br />*Note: A horizontal shift is also possible,<br />but you will not use it today.<br />
4. 4. Write an Equation for the graph<br />
5. 5. Write an Equation for the graph<br />
6. 6. Write an Equation for the graph<br />
7. 7. Write an Equation for the graph<br />
8. 8. Assignment<br />p. 416 # 62 – 70 even, 75 - 88<br />