State the amplitude and the range of the graph of y = -0.8 sin x, then describe the transformations that are applied to the graph of y = sin x to obtain the graph of y = -0.8 sin x, then state the phase shift for the function y = sin(x + 120), then explain what transformations must be applied to the graph of y = sin x to obtain the graph of y = sin(x + 150) + 3, then for y = sin(x + 150) + 3, state the domain for one cycle, and state the range, then show an equation in the form y = a sin(x – d) + c that represents the graph of y = sinx after it is reflected in the x-axis, vertically compressed by a factor of 0.25, shifted 65° to the left, and translated one unit down.
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