document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143812>Question 1143812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex of the parabola whose equation is y²+3x-2y+7=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764725 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "With vertex (h,k), the vertex form of the equation is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29+=+%281%2F%284p%29%29%28y-k%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29+=+%281%2F%284p%29%29%28y-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Put the equation in that form by completing the square in y and then solving for x.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B3x-2y%2B7+=+0 ALIGN=MIDDLE  ALT=\"y%5E2%2B3x-2y%2B7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  given<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-2y+=+-3x-7 ALIGN=MIDDLE  ALT=\"y%5E2-2y+=+-3x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  isolate the y terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-2y%2B1+=+-3x-7%2B1+=+-3x-6 ALIGN=MIDDLE  ALT=\"y%5E2-2y%2B1+=+-3x-7%2B1+=+-3x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  complete the square in y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-1%29%5E2+=+-3%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28y-1%29%5E2+=+-3%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  put in vertex form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+%28-1%2F3%29%28y-1%29%5E2 ALIGN=MIDDLE  ALT=\"x%2B2+=+%28-1%2F3%29%28y-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  done....<br><BR>\n" );
document.write( "The vertex is (h,k) = (-2,1). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );