document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23779>Question 23779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following quadratic equation. Find the vertex and intercepts for quadratic function, and graph: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+2x+-+24 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+2x+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12555 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=12555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite as y+24 = x^2+2x<BR>\n" );
document.write( "Complete the square on the right side and keep the <BR>\n" );
document.write( "equation balanced as follows:<BR>\n" );
document.write( "       y+24+1 = x^2+2x+1<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "      y+25 = (x+1)^2<BR>\n" );
document.write( "The form is Y-k =4p(x-h)^2<BR>\n" );
document.write( "So, vertex is at (h,k)= (-1,-25)<BR>\n" );
document.write( "y-intercept: Let x=0 in the original equation to get y=24<BR>\n" );
document.write( "So, y=intercept is (0,24)<BR>\n" );
document.write( "x-intercept: Let y=0 in the original equation to get:<BR>\n" );
document.write( "x^2+2x-24=0<BR>\n" );
document.write( "This factors as (x+6)(x-4)=0<BR>\n" );
document.write( "So, you have x-intercepts at x=-6 and x=4\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );