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Sketch one cycle of the graph of each function 16. y= -2 sin 8x

Sagot :

Answer:

• Amplitude = 2

,

• Period = π/4

Explanation:

Given the function:

[tex]y=-2\sin(8x)[/tex]

In order to sketch the graph of y, we need to find its amplitude and period.

Comparing the function with the general sine function:

[tex]y=a\sin(bx+c)+d[/tex]

We have that:

[tex]\begin{gathered} Amplitude=|a|=|-2|=2 \\ Period=\frac{2\pi}{|b|}=\frac{2\pi}{8}=\frac{1}{4}\pi \end{gathered}[/tex]

Next, using these values, we sketch one cycle of the graph below:

View image MaloriG48538
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