Answer to Question #138910 in Trigonometry for Jalen

Question

The graph of a sinusoidal function has a minimum point at
(0, 2) and then has a maximum point at (3π,6). Write the formula of the function, where X is entered in radians.

Answer 1

The first graph is $y=sinx$

The next step is shifting the graph by $3\pi/2$ :

Then we expand it 2 times:

then move it by 4 units:

(also we can decrease the period by dividing by 3:

)