document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968610>Question 968610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the min/max (vertex) value. Then sketch the graph.<BR>\n" );
document.write( "f(x)-x^2-10x-30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854547 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</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=854547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The wording of the post is certainly strange; but the intention is clear: find the vertex.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-x%5E2-10x-30 ALIGN=MIDDLE  ALT=\"f%28x%29=-x%5E2-10x-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Given a quadratic function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the x-coordinate of the vertex is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-10%29%2F%282%28-1%29%29=10%2F-2=-5 ALIGN=MIDDLE  ALT=\"-%28-10%29%2F%282%28-1%29%29=10%2F-2=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The y-coordinate of the vertex is found by evaluating the function at that value of x:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-5%29=-%28-5%29%5E2-10%28-5%29-30=-25%2B50-30=-5 ALIGN=MIDDLE  ALT=\"f%28-5%29=-%28-5%29%5E2-10%28-5%29-30=-25%2B50-30=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The vertex is (-5,-5)<br><BR>\n" );
document.write( "The graph....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C5%2C-25%2C5%2C-x%5E2-10x-30%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C5%2C-25%2C5%2C-x%5E2-10x-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );