9..State the changes that are occurring from the pa A) y=sin(1)/(2)(x+(pi )/(3))-2 (worth 11 points)OR

## Step 1The given function is \(y = \sin\frac {1}{2}(x+\frac {\pi }{3})-2\). This function is a transformation of the basic sine function \(y = \sin(x)\).## Step 2The coefficient of inside the sine function, which is , is the frequency of the function. The frequency determines how many cycles the function completes in a given interval. In this case, the frequency is , which means the function completes two cycles in the interval .## Step 3The term inside the sine function is the phase shift of the function. The phase shift determines the horizontal shift of the function. In this case, the phase shift is , which means the function is shifted to the left by .## Step 4The term outside the sine function is the vertical shift of the function. The vertical shift determines the vertical shift of the function. In this case, the function is shifted down by 2 units.