Write a sine function that has a midline of y=5 an amplitude of 4,a period of pi and a horizontal shift of (pi )/(3) 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 be centered around this line.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 4, which means the function will reach a maximum value of and a minimum value of .3. Period: The period is the distance between two consecutive points where the function repeats itself. 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 function is shifted to the right, which means we need to subtract from the input variable .Putting all these together, 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: