Question

Using radians find the amplitude in period of each function then graph. Question 9

Answer 1

we have the function

$y=\frac{1}{2}sin4\theta$

Remember that

The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2

In the general form of the equation of the sine

$y=Asin(B(x+c))+D$

The amplitude is the factor A

so

In this problem

The amplitude is 1/2

using a graphing tool

Note that the amplitude is the height from the center line to the peak (the center line is the x-axis, so the distance is 0.5.