document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213455>Question 213455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the vertex of parabola y=8x+1-4x^2? I need all the steps so I can understand the solution.\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161236 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=161236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the vertex of parabola y=8x+1-4x^2? I need all the steps so I can understand the solution<BR>\n" );
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document.write( "a = -4, b = 8, c = 1<BR>\n" );
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document.write( "Vertex occurs at x = -b/2a = -8/(2*-4) = 1<BR>\n" );
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document.write( "f(1) = 8 + 1 - 4 = 5<BR>\n" );
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document.write( "Vertex: (1,5)<BR>\n" );
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document.write( "If you work it by completing the square you get:<BR>\n" );
document.write( "-4x^2 + 8x + ? = y - 1 + ?<BR>\n" );
document.write( "-4(x^2 - 2x + (-1)^2) = y - 1 + -4*1<BR>\n" );
document.write( "-4(x - 1)^2 = y-5<BR>\n" );
document.write( "From this you can see that h=1 and k = 5<BR>\n" );
document.write( "So vertex is at (1,5)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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