﻿ Graph of y = -2sin(x - pi/4) | mathtestpreparation.com
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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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