document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061849>Question 1061849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In words, how are the changes of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++y+=+d+%2B+a+ ALIGN=MIDDLE  ALT=\"++y+=+d+%2B+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sin <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28bx+-+c%29+ ALIGN=MIDDLE  ALT=\"+%28bx+-+c%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > related to the changes for each constant? Can you provide a quick summary? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676616 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=676616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In words, how are the changes of the function  y = d + a*sin(bx - c) related to the changes for each constant? Can you provide a quick summary? Thanks!<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Rewrite as y = d + a*sin(b(x-(c/b))<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "|a| determines the amplitude<BR>\n" );
document.write( "b determines the period:: Period = (2pi)/b<BR>\n" );
document.write( "-(c/b) determines the horizontal shift<BR>\n" );
document.write( "d determines the vertical shift<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );