Describe how the graph of the function y=1.5sin(4x) is related to the graph of y=sin x.

Question

campbell_st · Answer

well the standard form is 

y = asin(bx) 

a= amplitude of the curve

amplitude is the max height of the curve

and 

$$period = \frac{2\pi}{b}$$

period is the distance along the horizontal axis needed to complete 1 cycle of the curve.

anonymous · Answer

Okay thank you, yeah I knew how to find the amplitude, period, phase shift, but I just didn't know how to set up the answer. Some teachers use standard form and some use a sentence format.

anonymous · Answer

There is no phase shift correct?

campbell_st · Answer

thats correct... well one way to do this is graph the curve, and then look at what's happening... 

the key is 4x

so 4 cycles over a distance of 2pi

anonymous · Answer

Thanks for all the help campbell_st!