document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100969>Question 1100969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the quadratic function in vertex form.\r<BR>\n" );
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document.write( "y = x^2 + 16x + 74 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715524 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the x-coordinate of the vertex.<BR>\n" );
document.write( "-b/2a = x-coordinate of vertex\r<BR>\n" );
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document.write( "y = x² + 16x + 74<BR>\n" );
document.write( "a = 1, b = 16, c = 74\r<BR>\n" );
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document.write( "-b<BR>\n" );
document.write( "--- = -16/2(1) = -8<BR>\n" );
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document.write( "x-coordinate of vertex is -8\r<BR>\n" );
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document.write( "Find the y-coordinate of the vertex by substituting -8 in for x.\r<BR>\n" );
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document.write( "y = (-8)² + 16(-8) + 74   {substituted -8 in for x}<BR>\n" );
document.write( "y = 64 - 128 + 74 {evaluated exponent and multiplied}<BR>\n" );
document.write( "y = 10   {added and subtracted}\r<BR>\n" );
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document.write( "Vertex is (-8,10)\r<BR>\n" );
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document.write( "Vertex form is y = a(x - h)² + k<BR>\n" );
document.write( "(h,k) are the coordinates of the vertex.\r<BR>\n" );
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document.write( "y = (x - 8)² + 10   {substituted vertex into vertex form}<BR>\n" );
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document.write( " </SPAN>\n" );
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