document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083696>Question 1083696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an expression for the top half of the circle x^2 + (y - 2)^2 = 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697735 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28y+-+2%29%5E2+=+4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28y+-+2%29%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is the equation of a circle. So we are looking to find an expression for the function that is the top half of the circle.\r<BR>\n" );
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document.write( "Functions are usually written in the form:<BR>\n" );
document.write( "y = something; so, solve given equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28y+-+2%29%5E2+=+4 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28y+-+2%29%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2 ALIGN=MIDDLE  ALT=\"-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-x%5E2%2B+%28y+-+2%29%5E2+=+-x%5E2%2B4 ALIGN=MIDDLE  ALT=\"x%5E2+-x%5E2%2B+%28y+-+2%29%5E2+=+-x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+2%29%5E2+=+-x%5E2%2B4 ALIGN=MIDDLE  ALT=\"%28y+-+2%29%5E2+=+-x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....take sqrt of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28y+-+2%29%5E2%29+=+sqrt%28-x%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28y+-+2%29%5E2%29+=+sqrt%28-x%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+2+=+sqrt%28-x%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"y+-+2+=+sqrt%28-x%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%28-x%5E2%2B4%29%2B2 ALIGN=MIDDLE  ALT=\"y+=+sqrt%28-x%5E2%2B4%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, the top half of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28-x%5E2%2B4%29%2B2 ALIGN=MIDDLE  ALT=\"+sqrt%28-x%5E2%2B4%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the bottom  half of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-sqrt%28-x%5E2%2B4%29%2B2 ALIGN=MIDDLE  ALT=\"+-sqrt%28-x%5E2%2B4%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here is a graph of the top half of the circle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28-x%5E2%2B4%29%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28-x%5E2%2B4%29%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here is a graph of the bottom half of the circle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-sqrt%28-x%5E2%2B4%29%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-sqrt%28-x%5E2%2B4%29%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "here is a graph of the whole circle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28-x%5E2%2B4%29%2B2%2C-+sqrt%28-x%5E2%2B4%29%2B2%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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