Collect Interims and test corrections!

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Presentation transcript:

Collect Interims and test corrections! M3U7D4 Warm Up 1. How long does it take to travel all the way around the unit circle? 2. What is the maximum sine value? 3. What is the maximum cosine value? Also called a period 360o or 2 1 1 Collect Interims and test corrections!

HW Check: pp. 12-13 Interims?

U7D4 Graphing Sine and Cosine functions OBJ: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. F-TF.5

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REMEMBER, Online Quizzes due FRIDAY! Watch!

Summary: WRITE THIS DOWN y = d + a sin (bx - c) y = d + a cos (bx - c) a is the amplitude period = or is the horizontal translation d is the vertical translation

When you graph, start here: Analyze the graph of amplitude = period = horizontal translation: vertical translation: none

Analyze the graph of 3 (to the left) amplitude = period = horizontal translation: vertical translation: none

Analyze the graph of 3 amplitude = period = horizontal translation: none vertical translation: Up 2

Graph and Analyze y = -2 + 3 cos (2x - 90°) 3 x y high 1 amplitude = 45° 3 amplitude = 90° -2 mid period = = 180° 135° low -5 horizontal translation: 180° -2 mid (to the right) 225° 1 high vertical translation: down 2 3) divide period by 4 to find increments 1) horiz. tells you where to start 180 4 = 45 2) add the period to find out where to finish table goes in increments of 45 4) plot points and graph 45 + 180 = 225

REMEMBER… You must know how to analyze the equation before you can graph it. The most important thing to remember about graphing is determining the starting point and the stopping point on the t-table.

Classwork pp. 16, 20 Homework pp. 18-19 and pp. 22-23 all