Question

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

Answer 1

• Amplitude = 2

,

• Period = π/4

Explanation:

Given the function:

`y=-2\sin(8x)`

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

Comparing the function with the general sine function:

`y=a\sin(bx+c)+d`

We have that:

`\begin{gathered} Amplitude=|a|=|-2|=2 \\ Period=(2\pi)/(|b|)=(2\pi)/(8)=(1)/(4)\pi \end{gathered}`

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