Question

Need help on geometry study guudeeach Mark on the y axis is 1 unit

Answer 1

Part a.

The amplitude is the height from the center to the peak. We can note there are 8 units between consecutive peaks

Therefore, the midline passes at y=1:

So the amplitude is 4:

Therefore, the answers for part a are:

Midline: y=1

Amplitude: 4 units

Part b.

On the other hand, the period is 2Pi divided by the distance between consecitive peaks, that is,

so we get

$Period=\frac{2\pi}{\frac{5\pi}{4}-\frac{\pi}{4}}$

which gives

$Period=\frac{2\pi}{\pi}=2$

thererefore, the period is 1 unit