# Draw the Sine graph of y = -2 sin(x - pi/4)

- Step 1:
- Draw the graph of y = sin x
- y = sin x is a continual function and its period is 2 pi.
- The five key points in one period of y = sin x are
- (0, 0), (pi/2, 1), (pi, 0), (3pi/2, -1), (2pi, 0)

- Step 2:
- Draw the graph of y = sin(x - pi/4)
- By shift the graph of y = sin x toward right side pi/4 to get the graph of y = sin(x - pi/4)

- Step 3:
- Draw the graph of y = 2 sin(x - pi/4)
- Vertical stretch the graph of y = sin(x - pi/4) twice to get the graph of y = 2 sin(x - pi/4).

- Step 4:
- Draw the graph of y = -2 sin(x - pi/4)
- Refletion the graph of y = 2 sin(x - pi/4) in the x-Axis to get the graph of y = -2 sin(x - pi/4).

- Reference more examples in this subject by
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of the graphs of Sine function y = A sin (Bx - C)** or other links you interested, when finish this section, click **Back**, click
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