How do you use the amplitude and period to graph $y = 3 sin 8 x$ $y=3sin8x$ ?

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How do you use the amplitude and period to graph $y = 3 sin 8 x$ $y=3sin8x$ ?

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Answer 1 · 2016-02-15T17:11:42

One full wave for y = 3 sin 8x is from ( - $\frac{π}{8}$ $pi/8$ , 0) to ( + $\frac{π}{8}$ $pi/8$ , 0). through the origin (0, 0) , It touches y = - 3 and y = +3, in between, at ( - $\frac{π}{16}$ $pi/16$ , - 3) and ( + $\frac{π}{16}$ $pi/16$ , 3),

Explanation:

The amplitude is 3. The period of sin kx is 2 $\frac{π}{k}$ $pi/k$ .
The wave repeats periodically in both -ve and +ve x-directions, with period $\frac{π}{4}$ $pi/4$ .
y = -3 and y = 3 are tangents to the sine wave.

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How do you use the amplitude and period to graph $y = 3 sin 8 x$ $y=3sin8x$ ?

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How do you use the amplitude and period to graph y=3sin8xy=3sin8x y=3sin8x?

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How do you use the amplitude and period to graph $y = 3 sin 8 x$ $y=3sin8x$ ?