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# 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
- (1). Click
**Free Math Sign In**menu, click**Trigonometry**icon, click the link you interested, when finish this section, click**Back**, click**Sign Out**button. Or, - (2). Click
**Member Math Sign In**menu, click**Trigonometry**menu, click**Trigonometry**button, click**Properties of the graphs of Sine function y = A sin (Bx - C)**or other links you interested, when finish this section, click**Back**, click**Go to member home page**, click**Sign Out**button.

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