document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564909>Question 564909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey! Im currently in e2020 and im a visual learner NOT a person who learns just by hearing, but im in need of someone to help me on this math problem:<BR>\n" );
document.write( "finding the vertex of y=x^2+3x-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365520 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> finding the vertex of y=x^2+3x-4<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "The vertex is on the LOS, the Line of Symmetry.<BR>\n" );
document.write( "The LOS is x = -b/2a = -3/2<BR>\n" );
document.write( "x = -3/2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "The vertex is (-3/2,f(-3/2))<BR>\n" );
document.write( "f(-3/2) = (-3/2)^2 + 3*(-3/2) - 4 = 9/4 - 18/4 - 16/4<BR>\n" );
document.write( "= -25/4<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Vertex at (-3/2,-25/4)<BR>\n" );
document.write( "or (-1.5,-6.25)<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "You can find it by putting the eqn in standard form, also.<BR>\n" );
document.write( "y=x^2+3x-4 = (x^2 + 3x + 2.25) - 4 - 2.25<BR>\n" );
document.write( "y = (x + 1.5)^2 - 6.25<BR>\n" );
document.write( "--> vertex at (-1.5,-6.25)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );