A sine function has the following key features:

Period = 4π

Amplitude = 3

Midline: y = 2

y-intercept: (0, 2)

The function is a reflection of its parent function over the x-axis.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

kikidylm Jan 23, 2019

#1**+1 **

" The function is a reflection of its parent function over the x-axis."

So....my question is.....are we supposed to write an equation for the given function or its parent???

Well anyway..... here are both :

y = 3sin (x/2) + 2 (given)

y = -3sin(x/) - 2 (parent)

Here are both graphs : https://www.desmos.com/calculator/tsbnzesmce

CPhill Jan 23, 2019

#2**+2 **

Hmmmmm...... I think it might be THIS one: (as I feel the refelection of the parent function (sin x) is accomplished by the initial ' - ' sign)

ElectricPavlov Jan 23, 2019