Please help!!

A wave is modeled with the function y = 1/2 sin 3 theta. Describe the graph of this function, including its period, amplitude, and points of intersection with the x-axis.

Question

Please help!!

A wave is modeled with the function y = 1/2 sin 3 theta. Describe the graph of this function, including its period, amplitude, and points of intersection with the x-axis.

campbell_st · Answer

well the standard form of the curve is 

$$y = asin(bx)$$

a = amplitude... 

the period is 

$$\frac{2\pi}{b}$$

so comparing this to your equation 

what do you think is the amplitude and the period...?

anonymous · Answer

Amplitude: 1/2
Period: 2pi/3
Intersections: Infinitely many, but pi/3, 2pi/3, so on and so forth

anonymous · Answer

is tht correct

campbell_st · Answer

thats correct...

anonymous · Answer

Thank you so much for your help and for explaining the process to me, many people jsut give me the answer without an explanation

campbell_st · Answer

glad to help