Write a sine function that has a midline of y=2 an amplitude of 5, a period of 3pi and a horizontal shift of (3pi )/(2) to the right. Answer Attemptiout of 2 f(x)=

To write a sine function with the given parameters, we need to consider the following:1. Midline: The midline is the horizontal line that divides the graph of the function into two equal parts. In this case, the midline is , which means the function will have a vertical shift of 2 units upwards.2. Amplitude: The amplitude is the distance between the midline and the maximum or minimum value of the function. In this case, the amplitude is 5, which means the function will have a vertical stretch of 5 units.3. Period: The period is the length of one complete cycle of the function. In this case, the period is , which means the function will repeat every units.4. Horizontal shift: A horizontal shift moves the graph of the function left or right. In this case, the horizontal shift is to the right, which means the function will be shifted units to the right.Using these parameters, we can write the sine function as: Simplifying the expression inside the sine function, we get: Therefore, the sine function with the given parameters is: