five pont 0-max-0-min-0 sine curve sketching

•Topic: The Sine Function
Aim: How can we sketch the graph of a sine curve using 0-max-0-min-0 rule?

•Do Now: Complete 1 – 9 on practice 13-4

•Concept Summary

•Suppose y = a sin bΘ, when a ≠ 0, b > 0, and Θ is in radians.

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•|a| is the amplitude of the function

•B is the number of cycles in the interval from 0 to 2π

•2π/b is the period of the function

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•Using zero-max-zero-min-zero five point pattern to sketch a sine curve

•Look at Problem #4

•Handout on page 846

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•Using y = a sin b Θ, where a = 2 and the period

•Is 4π

•We can sketch the sine curve using the five point summary as well as find the function rule

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•Got it? #4

•After problem 4

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•Then look at Problem 5

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•What is the graph of one cycle of y = ½ sin 2Θ?

•Exit slip

•What is the amplitude and period of the function y = -3 sin ½ Θ?

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