document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534333>Question 534333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the equation (x-3)^2 + (y+2)^2 = 9, (a)find the center and radius; (b)graph; (c)find the intercepts, if any.  Please help!  I am completely confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351486 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=351486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Compare the given equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y%2B2%29%5E2+=+9 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B2%29%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >} This is the general form of the equation of a circle with its center at (h,k) and a radius of r.<BR>\n" );
document.write( "So you can easily identify the center and radius of the given equation as:<BR>\n" );
document.write( "Center at (3, -2) and radius of 3.<BR>\n" );
document.write( "To graph the equation, you must first solve the equation for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y%2B2%29%5E2+=+9 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y%2B2%29%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B2%29%5E2+=+9-%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28y%2B2%29%5E2+=+9-%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2+=+sqrt%289-%28x-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"y%2B2+=+sqrt%289-%28x-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%289-%28x-3%29%5E2%29-2 ALIGN=MIDDLE  ALT=\"y+=+sqrt%289-%28x-3%29%5E2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-sqrt%289-%28x-3%29%5E2%29-2 ALIGN=MIDDLE  ALT=\"y+=+-sqrt%289-%28x-3%29%5E2%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now graph these two equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-6%2C15%2C-15%2C6%2Csqrt%289-%28x-3%29%5E2%29-2%2C-sqrt%289-%28x-3%29%5E2%29-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );