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This interactive graph will let you experiment with the values of a, b, and c in the equation of the trig function: Note that a, b, and c can all be negative. However, for students in Math 30, the value of b should remain a positive number. The value of c you enter is the phase shift. In the equation, its sign will be opposite. |
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Changing the values of the parameters will show you the transformed graph. Pressing the 'Transform' button shows you how the original graph of y = sin x changes to become the transformed image. Example: a = 3 b = 2 c = 30 y = 3 sin 2(x - 30) The amplitude is 3. The period is 360/2 = 180 degrees. The phase shift is 30 degrees right. |
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Note that this demonstration is only for y = sin x. Exactly the same things happen when you change these parameters on the graphs of both y = cos x and y = tan x, although of course the graphs are different. (Make sure you are aware of the differing effects on amplitude and period for tan.) You may check your understanding of how the equation is transformed by trying an interactive self-checking quiz, where you can check your own answers. We also have a real email quiz you can try, which can be forwarded to us for marking; your mark will be returned to you (probably within 24 hours). |
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Content & Design by Bill Willis 1999 Wunderland Website Design |