document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90605>Question 90605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and intercepts for each parabola. Sketch the graph.\r<BR>\n" );
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document.write( "g(x)=x^2+x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65790 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=65790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and intercepts for each parabola. Sketch the graph.<BR>\n" );
document.write( "g(x)=x^2+x-6<BR>\n" );
document.write( "g(x) = x^2 +x + ? -6 -?<BR>\n" );
document.write( "Complete the square on the x-terms to get:<BR>\n" );
document.write( "g(x) = x^2 +x + (1/2)^2 -6 -(1/2)^2<BR>\n" );
document.write( "Factor to get:<BR>\n" );
document.write( "g(x) = (x+(1/2))^2 -24/4 - 1/4<BR>\n" );
document.write( "g(x) = (x+(1/2))^2 - (25/4)<BR>\n" );
document.write( "g(x)+(25/4) = (x+(1/2))^2<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Vertex: ((-1/2),(-25/4))<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Bx-6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Bx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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