Consider the function f(x)=2 sin(π 2 (x−3)) +6  State the amplitude A, period P, and midline. State the phase shift and vertical translation. In the full period [0, P], state the maximum and minimum y-values and their corresponding xvalues.   Enter the exact answers.   Amplitude: A=A=    Period: P=P=    Midline: y=y=    The phase shift is              Click for List . The vertical translation is              Click for List .   Hints for the maximum and minimum values of f(x)fx: The maximum value of y=sin(x)y=sinx is y=1y=1 and the corresponding xx values are x=π2x=π2 and multiples of 2π2π less than and more than this xx value. You may want to solve π2(x−3)=π2π2x−3=π2. The minimum value of y=sin(x)y=sinx is y=−1y=−1 and the corresponding xx values are  x=3π2x=3π2 and multiples of 2π2π less than and more than this xx value. You may want to solve π2(x−3)=3π2π2x−3=3π2. If you get a value for x that is less than 0, you could add multiples of P to get into the next cycles. If you get a value for x that is more than P, you could subtract multiples of P to get into the previous cycles.   For x in the interval [0, P], the maximum y-value and corresponding x-value is at:   x=        y=          For xx in the interval [0, P], the minimum y-value and corresponding x-value is at:   x=        y=