Question

Find the amplitude and period of the function

y = 4 sin(−8x)

Answer 1

You have a specific case of the sine form y = a sin (bx). The absolute value of a (which in your case is 4) is the amplitude of the function.
b is the frequency. In general, the period of a sine or cosine function is 2pi/b.
What, then, is the period of this particular example? Note: periods are always positive.

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

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In y = 4 sin (-8x), a = 4 and b = -8.

The period of a sine or cosine function can be found from P = 2pi/b.

Using this formula, please find the period of y - 4 sin (-8x). Note: periods are always +, so take the absolute value of your result to obtain a + value.