Plz
graph a sine function whose amplitude is 3, period is 4pi, midline is y=2, and y-intercept is (0,2). the graph is not a reflection of the parent function over the x-axis.
use the sine tool to graph the function.
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 sin function is

Maximum point is

Step-by-step explanation:

Given : A sine function whose amplitude is 3,  period is , midline is y=2, and y-intercept is (0,2). The graph is not a reflection of the parent function over the x-axis.

To plot the graph :

Solution :

General form of sin function is

Where A is the amplitude

C is the midline    

Substitute the given key features  

A=3 , C=2  

The function is not a reflection of its parent function over the x-axis.

The sin function is  

Now, We plot the graph of the sin function.

The graph is attached below.

First point is midline i.e, (0,2)

Maximum point is

47 - 90 = 43

43 - 180 = x

x = 137

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4