document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937256>Question 937256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the completing the square to describe the graph of the following function support your answer graphically \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=-x%5E2%2B2x%2B5+ ALIGN=MIDDLE  ALT=\"+f%28x%29=-x%5E2%2B2x%2B5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570690 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -x^2 + 2x + 5 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=-1, b=2 and c=5<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "-1 2 5<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the quadratic has two real roots (y = 0) at:<BR>\n" );
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document.write( "x = -1.44948974<BR>\n" );
document.write( "x = 3.44948974<BR>\n" );
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document.write( "the quadratic has a vertex (maximum) at: ( 1, 6 )<BR>\n" );
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document.write( "the quadratic is a parabola that opens downward<BR>\n" );
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document.write( "now, by completing the square:<BR>\n" );
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document.write( "general quadratic:<BR>\n" );
document.write( "ax^2 + bx + c = 0<BR>\n" );
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document.write( "divide both sides by a:<BR>\n" );
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document.write( "(-x^2 + 2x + 5 = 0)/-1<BR>\n" );
document.write( "x^2 - 2x - 5 = 0<BR>\n" );
document.write( "x^2 - 2x = 5<BR>\n" );
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document.write( "complete the square:<BR>\n" );
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document.write( "x^2 - 2x + (-2/2)^2 - (-2/2)^2 = 5<BR>\n" );
document.write( "x^2 - 2x + (-1)^2 - (-1)^2 = 5<BR>\n" );
document.write( "x^2 - 2x + (-1)^2 - 1 = 5<BR>\n" );
document.write( "(x - 1)^2 = 6<BR>\n" );
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document.write( "solve for x:<BR>\n" );
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document.write( "sqrt( (x - 1)^2  ) = sqrt( 6 )<BR>\n" );
document.write( "x - 1 = sqrt( 6 )<BR>\n" );
document.write( "x = 1 (+ or -) sqrt( 6 )<BR>\n" );
document.write( "x = 1 + sqrt( 6 )<BR>\n" );
document.write( "x = 3.44948974278<BR>\n" );
document.write( "x = 1 - sqrt( 6 )<BR>\n" );
document.write( "x = -1.44948974278<BR>\n" );
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document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );