Question

PLZ HELP!!

Answer 1

Answer:

The sin function is $y=3 sin(\frac{1}{2}x)+2$

Maximum point is $(\pi,5)$

Step-by-step explanation:

Given : A sine function whose amplitude is 3,  period is $4\pi$, 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 $y=A sin(Bx)+C$

Where A is the amplitude

$B=\frac{2\pi}{\text{Period}}$

C is the midline    

Substitute the given key features  

A=3 , C=2  

$B=\frac{2\pi}{4\pi}=\frac{1}{2}$

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

The sin function is  $y=3 sin(\frac{1}{2}x)+2$

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 $(\pi,5)$