The graph of \(y = a + b \sin x\) is shown with a maximum value of 1 and a mid value of -2, which indicates \(a = -2\).

The amplitude \(b\) is the distance from the midline to the maximum or minimum. Since the maximum is 1 and the midline is -2, the amplitude is \(1 - (-2) = 3\).

Thus, \(a = -2\) and \(b = 3\).