Write a cosine function that has a midline of y=3 an amplitude of 5, a period of (3)/(4) and a horizontal shift of (3)/(16) to the right. Answer Attempt 2 out of f(x)=

To write a cosine 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 , so the function will have a vertical shift of 3 units.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, so the function will have a vertical stretch of 5 units.3. Period: The period is the distance between two consecutive points where the function repeats itself. In this case, the period is , so the function will have a horizontal compression of .4. Horizontal shift: The horizontal shift moves the graph of the function left or right. In this case, the horizontal shift is to the right, so the function will have a horizontal shift of .Using these parameters, we can write the cosine function as: Simplifying the expression inside the cosine function, we get: Therefore, the cosine function with the given parameters is: