A sine function has the following key features:

Frequency = 1/4π

Amplitude = 2

Midline: y = 2

y-intercept: (0, 2)

I think it is y=3sin(4pix)+2 ? Am i correct?

jjennylove Jan 15, 2019

#1**+1 **

Frequency = 1 / period

1/(4pi) = 1/period Period = 4 pi 2pi / 4pi = 1/2

Amplitude = 2

Midline = 2 ( this means it is shifted UP 2 from its usual midline of y=0

Y intercept 0,2

2 sin (1/2x) +2

ElectricPavlov Jan 15, 2019

#2**+2 **

We have the form

y = Asin (Bx + C) + D

A = the amplitude = 2

The period = 4pi

Thus....in 2pi....there is (1/2) of a period.....so "B" = (1/2)

There is no phase shift....so......C = 0

Since the midline is 2, then D = 2

So the equation is

y = 2sin ( 1/2 * x) + 2 = 2sin (x/2) + 2

Here: https://www.desmos.com/calculator/o4e9ngaqie

CPhill Jan 15, 2019