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Graphing Trig Functions: Phase Shift (page 3 of 3) Sections: Introduction, Examples with amplitude and vertical shift, Example with phase shift
The amplitide is going to be the same, but the midline of the graph is going to be at y = 3 instead of y = 0 (that is, the xaxis). The period is going to be (2π)/(π) = 2. The argument factors as π(x + 1/2), so the graph will be shifted 1/2 unit to the left. I'll do the usual graph: Copyright © Elizabeth Stapel 20102011 All Rights Reserved Instead of shifting the sine wave three units up, I'll shift the horizontal axis three units down, and renumber the yaxis: The regular period goes from 0 to 2π; this one goes from 0 to 2, so I'll renumber the xaxis: And the graph is shifted to the left by 1/2, so I'll shift the yaxis to the right by 1/2 and renumber the xaxis a bit more: Can you see why I used pencil and did a lot of erasing when I was doing graphing? My best advice regarding doing these graphs is to practice, practice, practice. You don't want to freeze or have a "brainfart" on the test, and this is pretty straightforward, once you get the feel of it. So keep doing extra graphing, until you are feeling comfortable and confident in your skills. << Previous Top  1  2  3  Return to Index



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