Asinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. what is the equation of the function described?

Step by step construction is helpful in such kinda problems. Firstly, we know that general sinusoid function has a period of 2π. It means according to the first condition when the function has π/2 frequency it becomes sin(4x). Then, applying y-intercept, we obtain sin(4x)+3. Finally, maximum and minimum values give us final function  
The function is described in the attached photo.