document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910128>Question 910128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this calculus problem?\r<BR>\n" );
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document.write( "I am very stuck on my hw and if someone could please help explain how to find these, so I can have at least one example to work from<BR>\n" );
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document.write( "Given the function y = sinx + 5 \r<BR>\n" );
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document.write( "what is the \r<BR>\n" );
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document.write( "a) period<BR>\n" );
document.write( "b)amplitude<BR>\n" );
document.write( "c) phase shift </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552248 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=552248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sin%28x%29+%2B+5 ALIGN=MIDDLE  ALT=\"y+=+sin%28x%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1%2Asin%281%2Ax-0%29+%2B+5 ALIGN=MIDDLE  ALT=\"y+=+1%2Asin%281%2Ax-0%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1%2Asin%281%2Ax-0%29+%2B+5 ALIGN=MIDDLE  ALT=\"y+=+1%2Asin%281%2Ax-0%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the general form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+A%2Asin%28B%2Ax-C%29+%2B+D ALIGN=MIDDLE  ALT=\"y+=+A%2Asin%28B%2Ax-C%29+%2B+D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We see that\r<BR>\n" );
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document.write( "A = 1<BR>\n" );
document.write( "B = 1<BR>\n" );
document.write( "C = 0<BR>\n" );
document.write( "D = 5\r<BR>\n" );
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document.write( "So...\r<BR>\n" );
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document.write( "Amplitude: |A| = |1| = 1\r<BR>\n" );
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document.write( "The amplitude is 1\r<BR>\n" );
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document.write( "Period: \r<BR>\n" );
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document.write( "T = period\r<BR>\n" );
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document.write( "T = 2pi/B\r<BR>\n" );
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document.write( "T = 2pi/1\r<BR>\n" );
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document.write( "T = 2pi\r<BR>\n" );
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document.write( "The period is 2pi\r<BR>\n" );
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document.write( "Phase Shift:\r<BR>\n" );
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document.write( "C is the phase shift. Since C = 0, the phase shift is 0. The parent function y = sin(x) has not been moved left or right.\r<BR>\n" );
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document.write( "Midline:\r<BR>\n" );
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document.write( "The midline is the center horizontal line that goes through the sine or cosine function.\r<BR>\n" );
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document.write( "Since D = 5, the midline is the horizontal line y = 5. Essentially, this means that the y = sin(x) graph has been shifted 5 units up.\r<BR>\n" );
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document.write( "Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sin%28x%29+%2B+5 ALIGN=MIDDLE  ALT=\"y+=+sin%28x%29+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <font color=\"red\">red</font>. Midline is the <font color=\"blue\">blue</font> dashed horizontal line that cuts through the center of the sine curve.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://i150.photobucket.com/albums/s91/jim_thompson5910/10-6-20145-56-20PM_zpsfd7ae48f.png\"> </SPAN>\n" );
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