document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=487757>Question 487757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It says to find the vertex, but the fraction is throwing me off.\r<BR>\n" );
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document.write( "1/2x^2+6x+7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333145 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is a quadratic equation in standard form.<BR>\n" );
document.write( "the standard form of a quadratic equation is ax^2 + bx + c = 0<BR>\n" );
document.write( "set your equation to 0 and it becomes:<BR>\n" );
document.write( "(1/2)x^2 + 6x + 7 = 0<BR>\n" );
document.write( "this means that:<BR>\n" );
document.write( "a = (1/2)<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "c = 7<BR>\n" );
document.write( "the formula for finding the x value of the vertex is:<BR>\n" );
document.write( "x = -b/2a<BR>\n" );
document.write( "substitute for b and a in this formula to get:<BR>\n" );
document.write( "x = -6 / (2 * (1/2)) which becomes:<BR>\n" );
document.write( "x = -6 / 1 which becomes:<BR>\n" );
document.write( "x = -6<BR>\n" );
document.write( "to find the value of y for the vertex, then substitute -6 in the equation to get:<BR>\n" );
document.write( "y = (1/2)x^2 + 6x + 7 becomes:<BR>\n" );
document.write( "y = (1/2)*(-6)^2 + 6*(-6) + 7 which becomes:<BR>\n" );
document.write( "y = (1/2)*36 - 36 + 7 which becomes:<BR>\n" );
document.write( "y = 18 - 36 + 7 which becomes:<BR>\n" );
document.write( "y = -11<BR>\n" );
document.write( "the vertex should be at the point (x,y) = (-6,-11)<BR>\n" );
document.write( "a graph of your equation looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-20%2C10%2C-30%2C10%2C%281%2F2%29x%5E2+%2B6x+%2B+7%2C-11%2C100%28x%2B6%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i drew a horizonal line at y = -11 and a vertical line at x = -6 to show your where the vertex would be.<BR>\n" );
document.write( "it would be at the intersection of the vertical and horizontal line.<BR>\n" );
document.write( "the vertical line is not perfectly vertical, but it should be vertical enough for you to get the idea.\r<BR>\n" );
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