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.
" 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
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)