Explain how the graph of y = –2sin(x) – 1 differs from the parent function. Make sure to compare key points used for graphing.

Answer:

The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1. The maximum of y = –2sin(x) – 1 is 1, the minimum is –3, and the amplitude is 2.